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Finding the Fourth Proportional to 517.60, 776.28 and 425.92

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Solution

The fourth proportional to 517.60, 776.28 and 425.92 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 776.28 = 425.92 : x
  2. Step 2: Convert to fraction form
    517.60/776.28 = 425.92/x
  3. Step 3: Cross multiply
    517.60x = 776.28 × 425.92
  4. Step 4: Simplify right side
    517.60x = 330,633.18
  5. Step 5: Solve for x
    x = 330,633.18/517.60
  6. Step 6: Final answer
    x = 638.78

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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.