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Finding the Fourth Proportional to 1,166.59, 1,750.29 and 517.78

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Solution

The fourth proportional to 1,166.59, 1,750.29 and 517.78 is: 776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.59 : 1,750.29 = 517.78 : x
  2. Step 2: Convert to fraction form
    1,166.59/1,750.29 = 517.78/x
  3. Step 3: Cross multiply
    1,166.59x = 1,750.29 × 517.78
  4. Step 4: Simplify right side
    1,166.59x = 906,265.16
  5. Step 5: Solve for x
    x = 906,265.16/1,166.59
  6. Step 6: Final answer
    x = 776.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.