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Finding the Fourth Proportional to 537.22, 740.68 and 458.38

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Solution

The fourth proportional to 537.22, 740.68 and 458.38 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 740.68 = 458.38 : x
  2. Step 2: Convert to fraction form
    537.22/740.68 = 458.38/x
  3. Step 3: Cross multiply
    537.22x = 740.68 × 458.38
  4. Step 4: Simplify right side
    537.22x = 339,512.90
  5. Step 5: Solve for x
    x = 339,512.90/537.22
  6. Step 6: Final answer
    x = 631.98

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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.