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Finding the Fourth Proportional to 537.95, 742.40 and 421.31

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Solution

The fourth proportional to 537.95, 742.40 and 421.31 is: 581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.95 : 742.40 = 421.31 : x
  2. Step 2: Convert to fraction form
    537.95/742.40 = 421.31/x
  3. Step 3: Cross multiply
    537.95x = 742.40 × 421.31
  4. Step 4: Simplify right side
    537.95x = 312,781.87
  5. Step 5: Solve for x
    x = 312,781.87/537.95
  6. Step 6: Final answer
    x = 581.43

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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.