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Finding the Fourth Proportional to 514.62, 708.95 and 425.73

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Solution

The fourth proportional to 514.62, 708.95 and 425.73 is: 586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 708.95 = 425.73 : x
  2. Step 2: Convert to fraction form
    514.62/708.95 = 425.73/x
  3. Step 3: Cross multiply
    514.62x = 708.95 × 425.73
  4. Step 4: Simplify right side
    514.62x = 301,819.15
  5. Step 5: Solve for x
    x = 301,819.15/514.62
  6. Step 6: Final answer
    x = 586.49

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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.