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Finding the Fourth Proportional to 766.61, 1,057.92 and 417.30

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Solution

The fourth proportional to 766.61, 1,057.92 and 417.30 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,057.92 = 417.30 : x
  2. Step 2: Convert to fraction form
    766.61/1,057.92 = 417.30/x
  3. Step 3: Cross multiply
    766.61x = 1,057.92 × 417.30
  4. Step 4: Simplify right side
    766.61x = 441,470.02
  5. Step 5: Solve for x
    x = 441,470.02/766.61
  6. Step 6: Final answer
    x = 575.87

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