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Finding the Fourth Proportional to 475.88, 708.85 and 424.04

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Solution

The fourth proportional to 475.88, 708.85 and 424.04 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.88 : 708.85 = 424.04 : x
  2. Step 2: Convert to fraction form
    475.88/708.85 = 424.04/x
  3. Step 3: Cross multiply
    475.88x = 708.85 × 424.04
  4. Step 4: Simplify right side
    475.88x = 300,580.75
  5. Step 5: Solve for x
    x = 300,580.75/475.88
  6. Step 6: Final answer
    x = 631.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.