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Finding the Fourth Proportional to 537.72, 742.32 and 381.12

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Solution

The fourth proportional to 537.72, 742.32 and 381.12 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 742.32 = 381.12 : x
  2. Step 2: Convert to fraction form
    537.72/742.32 = 381.12/x
  3. Step 3: Cross multiply
    537.72x = 742.32 × 381.12
  4. Step 4: Simplify right side
    537.72x = 282,913.00
  5. Step 5: Solve for x
    x = 282,913.00/537.72
  6. Step 6: Final answer
    x = 526.13

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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.