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Finding the Fourth Proportional to 732.48, 1,010.86 and 417.78

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Solution

The fourth proportional to 732.48, 1,010.86 and 417.78 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.48 : 1,010.86 = 417.78 : x
  2. Step 2: Convert to fraction form
    732.48/1,010.86 = 417.78/x
  3. Step 3: Cross multiply
    732.48x = 1,010.86 × 417.78
  4. Step 4: Simplify right side
    732.48x = 422,317.09
  5. Step 5: Solve for x
    x = 422,317.09/732.48
  6. Step 6: Final answer
    x = 576.56

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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.