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Finding the Fourth Proportional to 1,346.76, 1,858.68 and 822.69

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Solution

The fourth proportional to 1,346.76, 1,858.68 and 822.69 is: 1,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.76 : 1,858.68 = 822.69 : x
  2. Step 2: Convert to fraction form
    1,346.76/1,858.68 = 822.69/x
  3. Step 3: Cross multiply
    1,346.76x = 1,858.68 × 822.69
  4. Step 4: Simplify right side
    1,346.76x = 1,529,117.45
  5. Step 5: Solve for x
    x = 1,529,117.45/1,346.76
  6. Step 6: Final answer
    x = 1,135.40

Related Problems

Find fourth proportional to 673.38, 929.34 and 411.35
Half scale
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Double scale
Find fourth proportional to 1,347.76, 1,860.06 and 823.69
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.