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Finding the Fourth Proportional to 547.52, 816.92 and 508.80

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Solution

The fourth proportional to 547.52, 816.92 and 508.80 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 816.92 = 508.80 : x
  2. Step 2: Convert to fraction form
    547.52/816.92 = 508.80/x
  3. Step 3: Cross multiply
    547.52x = 816.92 × 508.80
  4. Step 4: Simplify right side
    547.52x = 415,648.90
  5. Step 5: Solve for x
    x = 415,648.90/547.52
  6. Step 6: Final answer
    x = 759.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.