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Finding the Fourth Proportional to 534.44, 737.02 and 422.18

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Solution

The fourth proportional to 534.44, 737.02 and 422.18 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.44 : 737.02 = 422.18 : x
  2. Step 2: Convert to fraction form
    534.44/737.02 = 422.18/x
  3. Step 3: Cross multiply
    534.44x = 737.02 × 422.18
  4. Step 4: Simplify right side
    534.44x = 311,155.10
  5. Step 5: Solve for x
    x = 311,155.10/534.44
  6. Step 6: Final answer
    x = 582.21

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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.