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Finding the Fourth Proportional to 650.52, 974.08 and 519.92

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Solution

The fourth proportional to 650.52, 974.08 and 519.92 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 974.08 = 519.92 : x
  2. Step 2: Convert to fraction form
    650.52/974.08 = 519.92/x
  3. Step 3: Cross multiply
    650.52x = 974.08 × 519.92
  4. Step 4: Simplify right side
    650.52x = 506,443.67
  5. Step 5: Solve for x
    x = 506,443.67/650.52
  6. Step 6: Final answer
    x = 778.52

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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.