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Finding the Fourth Proportional to 534.88, 806.32 and 500.80

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Solution

The fourth proportional to 534.88, 806.32 and 500.80 is: 754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 806.32 = 500.80 : x
  2. Step 2: Convert to fraction form
    534.88/806.32 = 500.80/x
  3. Step 3: Cross multiply
    534.88x = 806.32 × 500.80
  4. Step 4: Simplify right side
    534.88x = 403,805.06
  5. Step 5: Solve for x
    x = 403,805.06/534.88
  6. Step 6: Final answer
    x = 754.95

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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.