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Finding the Fourth Proportional to 1,166.76, 1,610.68 and 813.87

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Solution

The fourth proportional to 1,166.76, 1,610.68 and 813.87 is: 1,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.76 : 1,610.68 = 813.87 : x
  2. Step 2: Convert to fraction form
    1,166.76/1,610.68 = 813.87/x
  3. Step 3: Cross multiply
    1,166.76x = 1,610.68 × 813.87
  4. Step 4: Simplify right side
    1,166.76x = 1,310,884.13
  5. Step 5: Solve for x
    x = 1,310,884.13/1,166.76
  6. Step 6: Final answer
    x = 1,123.53

Related Problems

Find fourth proportional to 583.38, 805.34 and 406.94
Half scale
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Double scale
Find fourth proportional to 1,167.76, 1,612.06 and 814.87
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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.