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Finding the Fourth Proportional to 517.88, 782.69 and 508.92

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Solution

The fourth proportional to 517.88, 782.69 and 508.92 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 782.69 = 508.92 : x
  2. Step 2: Convert to fraction form
    517.88/782.69 = 508.92/x
  3. Step 3: Cross multiply
    517.88x = 782.69 × 508.92
  4. Step 4: Simplify right side
    517.88x = 398,326.59
  5. Step 5: Solve for x
    x = 398,326.59/517.88
  6. Step 6: Final answer
    x = 769.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.