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Finding the Fourth Proportional to 708.52, 978.24 and 459.76

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Solution

The fourth proportional to 708.52, 978.24 and 459.76 is: 634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.52 : 978.24 = 459.76 : x
  2. Step 2: Convert to fraction form
    708.52/978.24 = 459.76/x
  3. Step 3: Cross multiply
    708.52x = 978.24 × 459.76
  4. Step 4: Simplify right side
    708.52x = 449,755.62
  5. Step 5: Solve for x
    x = 449,755.62/708.52
  6. Step 6: Final answer
    x = 634.78

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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.