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Finding the Fourth Proportional to 1,286.09, 1,775.57 and 844.76

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Solution

The fourth proportional to 1,286.09, 1,775.57 and 844.76 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.09 : 1,775.57 = 844.76 : x
  2. Step 2: Convert to fraction form
    1,286.09/1,775.57 = 844.76/x
  3. Step 3: Cross multiply
    1,286.09x = 1,775.57 × 844.76
  4. Step 4: Simplify right side
    1,286.09x = 1,499,930.51
  5. Step 5: Solve for x
    x = 1,499,930.51/1,286.09
  6. Step 6: Final answer
    x = 1,166.27

Related Problems

Find fourth proportional to 643.05, 887.79 and 422.38
Half scale
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Double scale
Find fourth proportional to 1,287.09, 1,776.95 and 845.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.