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Finding the Fourth Proportional to 766.68, 1,057.33 and 517.54

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Solution

The fourth proportional to 766.68, 1,057.33 and 517.54 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.68 : 1,057.33 = 517.54 : x
  2. Step 2: Convert to fraction form
    766.68/1,057.33 = 517.54/x
  3. Step 3: Cross multiply
    766.68x = 1,057.33 × 517.54
  4. Step 4: Simplify right side
    766.68x = 547,210.57
  5. Step 5: Solve for x
    x = 547,210.57/766.68
  6. Step 6: Final answer
    x = 713.74

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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.