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Finding the Fourth Proportional to 534.47, 737.66 and 422.18

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Solution

The fourth proportional to 534.47, 737.66 and 422.18 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 737.66 = 422.18 : x
  2. Step 2: Convert to fraction form
    534.47/737.66 = 422.18/x
  3. Step 3: Cross multiply
    534.47x = 737.66 × 422.18
  4. Step 4: Simplify right side
    534.47x = 311,425.30
  5. Step 5: Solve for x
    x = 311,425.30/534.47
  6. Step 6: Final answer
    x = 582.68

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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.