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Finding the Fourth Proportional to 552.80, 763.44 and 422.24

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Solution

The fourth proportional to 552.80, 763.44 and 422.24 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.80 : 763.44 = 422.24 : x
  2. Step 2: Convert to fraction form
    552.80/763.44 = 422.24/x
  3. Step 3: Cross multiply
    552.80x = 763.44 × 422.24
  4. Step 4: Simplify right side
    552.80x = 322,354.91
  5. Step 5: Solve for x
    x = 322,354.91/552.80
  6. Step 6: Final answer
    x = 583.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.