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Finding the Fourth Proportional to 732.74, 1,010.96 and 418.02

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Solution

The fourth proportional to 732.74, 1,010.96 and 418.02 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,010.96 = 418.02 : x
  2. Step 2: Convert to fraction form
    732.74/1,010.96 = 418.02/x
  3. Step 3: Cross multiply
    732.74x = 1,010.96 × 418.02
  4. Step 4: Simplify right side
    732.74x = 422,601.50
  5. Step 5: Solve for x
    x = 422,601.50/732.74
  6. Step 6: Final answer
    x = 576.74

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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.