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Finding the Fourth Proportional to 537.24, 742.41 and 397.52

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Solution

The fourth proportional to 537.24, 742.41 and 397.52 is: 549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 742.41 = 397.52 : x
  2. Step 2: Convert to fraction form
    537.24/742.41 = 397.52/x
  3. Step 3: Cross multiply
    537.24x = 742.41 × 397.52
  4. Step 4: Simplify right side
    537.24x = 295,119.11
  5. Step 5: Solve for x
    x = 295,119.11/537.24
  6. Step 6: Final answer
    x = 549.32

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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.