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Finding the Fourth Proportional to 732.14, 1,010.58 and 470.12

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Solution

The fourth proportional to 732.14, 1,010.58 and 470.12 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.14 : 1,010.58 = 470.12 : x
  2. Step 2: Convert to fraction form
    732.14/1,010.58 = 470.12/x
  3. Step 3: Cross multiply
    732.14x = 1,010.58 × 470.12
  4. Step 4: Simplify right side
    732.14x = 475,093.87
  5. Step 5: Solve for x
    x = 475,093.87/732.14
  6. Step 6: Final answer
    x = 648.91

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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.