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Finding the Fourth Proportional to 541.52, 743.69 and 454.04

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Solution

The fourth proportional to 541.52, 743.69 and 454.04 is: 623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 743.69 = 454.04 : x
  2. Step 2: Convert to fraction form
    541.52/743.69 = 454.04/x
  3. Step 3: Cross multiply
    541.52x = 743.69 × 454.04
  4. Step 4: Simplify right side
    541.52x = 337,660.72
  5. Step 5: Solve for x
    x = 337,660.72/541.52
  6. Step 6: Final answer
    x = 623.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.