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Finding the Fourth Proportional to 457.38, 686.52 and 320.04

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Solution

The fourth proportional to 457.38, 686.52 and 320.04 is: 480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.38 : 686.52 = 320.04 : x
  2. Step 2: Convert to fraction form
    457.38/686.52 = 320.04/x
  3. Step 3: Cross multiply
    457.38x = 686.52 × 320.04
  4. Step 4: Simplify right side
    457.38x = 219,713.86
  5. Step 5: Solve for x
    x = 219,713.86/457.38
  6. Step 6: Final answer
    x = 480.37

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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.