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Finding the Fourth Proportional to 519.76, 780.92 and 458.32

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Solution

The fourth proportional to 519.76, 780.92 and 458.32 is: 688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 780.92 = 458.32 : x
  2. Step 2: Convert to fraction form
    519.76/780.92 = 458.32/x
  3. Step 3: Cross multiply
    519.76x = 780.92 × 458.32
  4. Step 4: Simplify right side
    519.76x = 357,911.25
  5. Step 5: Solve for x
    x = 357,911.25/519.76
  6. Step 6: Final answer
    x = 688.61

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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.