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Finding the Fourth Proportional to 539.16, 742.68 and 422.52

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Solution

The fourth proportional to 539.16, 742.68 and 422.52 is: 582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 742.68 = 422.52 : x
  2. Step 2: Convert to fraction form
    539.16/742.68 = 422.52/x
  3. Step 3: Cross multiply
    539.16x = 742.68 × 422.52
  4. Step 4: Simplify right side
    539.16x = 313,797.15
  5. Step 5: Solve for x
    x = 313,797.15/539.16
  6. Step 6: Final answer
    x = 582.01

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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.