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Finding the Fourth Proportional to 732.67, 1,011.77 and 471.14

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Solution

The fourth proportional to 732.67, 1,011.77 and 471.14 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.67 : 1,011.77 = 471.14 : x
  2. Step 2: Convert to fraction form
    732.67/1,011.77 = 471.14/x
  3. Step 3: Cross multiply
    732.67x = 1,011.77 × 471.14
  4. Step 4: Simplify right side
    732.67x = 476,685.32
  5. Step 5: Solve for x
    x = 476,685.32/732.67
  6. Step 6: Final answer
    x = 650.61

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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.