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Finding the Fourth Proportional to 537.55, 741.72 and 454.48

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Solution

The fourth proportional to 537.55, 741.72 and 454.48 is: 627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.55 : 741.72 = 454.48 : x
  2. Step 2: Convert to fraction form
    537.55/741.72 = 454.48/x
  3. Step 3: Cross multiply
    537.55x = 741.72 × 454.48
  4. Step 4: Simplify right side
    537.55x = 337,096.91
  5. Step 5: Solve for x
    x = 337,096.91/537.55
  6. Step 6: Final answer
    x = 627.10

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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.