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Finding the Fourth Proportional to 542.56, 742.13 and 534.10

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Solution

The fourth proportional to 542.56, 742.13 and 534.10 is: 730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.56 : 742.13 = 534.10 : x
  2. Step 2: Convert to fraction form
    542.56/742.13 = 534.10/x
  3. Step 3: Cross multiply
    542.56x = 742.13 × 534.10
  4. Step 4: Simplify right side
    542.56x = 396,371.63
  5. Step 5: Solve for x
    x = 396,371.63/542.56
  6. Step 6: Final answer
    x = 730.56

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1.5x scale

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.