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Finding the Fourth Proportional to 549.24, 748.32 and 537.36

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Solution

The fourth proportional to 549.24, 748.32 and 537.36 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 748.32 = 537.36 : x
  2. Step 2: Convert to fraction form
    549.24/748.32 = 537.36/x
  3. Step 3: Cross multiply
    549.24x = 748.32 × 537.36
  4. Step 4: Simplify right side
    549.24x = 402,117.24
  5. Step 5: Solve for x
    x = 402,117.24/549.24
  6. Step 6: Final answer
    x = 732.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.