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Finding the Fourth Proportional to 537.68, 742.92 and 445.52

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Solution

The fourth proportional to 537.68, 742.92 and 445.52 is: 615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.68 : 742.92 = 445.52 : x
  2. Step 2: Convert to fraction form
    537.68/742.92 = 445.52/x
  3. Step 3: Cross multiply
    537.68x = 742.92 × 445.52
  4. Step 4: Simplify right side
    537.68x = 330,985.72
  5. Step 5: Solve for x
    x = 330,985.72/537.68
  6. Step 6: Final answer
    x = 615.58

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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.