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Finding the Fourth Proportional to 732.15, 1,010.33 and 417.39

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Solution

The fourth proportional to 732.15, 1,010.33 and 417.39 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.15 : 1,010.33 = 417.39 : x
  2. Step 2: Convert to fraction form
    732.15/1,010.33 = 417.39/x
  3. Step 3: Cross multiply
    732.15x = 1,010.33 × 417.39
  4. Step 4: Simplify right side
    732.15x = 421,701.64
  5. Step 5: Solve for x
    x = 421,701.64/732.15
  6. Step 6: Final answer
    x = 575.98

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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.