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Finding the Fourth Proportional to 537.76, 742.43 and 328.02

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Solution

The fourth proportional to 537.76, 742.43 and 328.02 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 742.43 = 328.02 : x
  2. Step 2: Convert to fraction form
    537.76/742.43 = 328.02/x
  3. Step 3: Cross multiply
    537.76x = 742.43 × 328.02
  4. Step 4: Simplify right side
    537.76x = 243,531.89
  5. Step 5: Solve for x
    x = 243,531.89/537.76
  6. Step 6: Final answer
    x = 452.86

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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.