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Finding the Fourth Proportional to 693.24, 1,039.14 and 476.88

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Solution

The fourth proportional to 693.24, 1,039.14 and 476.88 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 1,039.14 = 476.88 : x
  2. Step 2: Convert to fraction form
    693.24/1,039.14 = 476.88/x
  3. Step 3: Cross multiply
    693.24x = 1,039.14 × 476.88
  4. Step 4: Simplify right side
    693.24x = 495,545.08
  5. Step 5: Solve for x
    x = 495,545.08/693.24
  6. Step 6: Final answer
    x = 714.82

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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.