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Finding the Fourth Proportional to 932.38, 1,398.56 and 470.04

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Solution

The fourth proportional to 932.38, 1,398.56 and 470.04 is: 705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.38 : 1,398.56 = 470.04 : x
  2. Step 2: Convert to fraction form
    932.38/1,398.56 = 470.04/x
  3. Step 3: Cross multiply
    932.38x = 1,398.56 × 470.04
  4. Step 4: Simplify right side
    932.38x = 657,379.14
  5. Step 5: Solve for x
    x = 657,379.14/932.38
  6. Step 6: Final answer
    x = 705.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.