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Finding the Fourth Proportional to 540.43, 746.08 and 422.15

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Solution

The fourth proportional to 540.43, 746.08 and 422.15 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.43 : 746.08 = 422.15 : x
  2. Step 2: Convert to fraction form
    540.43/746.08 = 422.15/x
  3. Step 3: Cross multiply
    540.43x = 746.08 × 422.15
  4. Step 4: Simplify right side
    540.43x = 314,957.67
  5. Step 5: Solve for x
    x = 314,957.67/540.43
  6. Step 6: Final answer
    x = 582.79

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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.