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Finding the Fourth Proportional to 542.12, 748.55 and 500.66

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Solution

The fourth proportional to 542.12, 748.55 and 500.66 is: 691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 748.55 = 500.66 : x
  2. Step 2: Convert to fraction form
    542.12/748.55 = 500.66/x
  3. Step 3: Cross multiply
    542.12x = 748.55 × 500.66
  4. Step 4: Simplify right side
    542.12x = 374,767.96
  5. Step 5: Solve for x
    x = 374,767.96/542.12
  6. Step 6: Final answer
    x = 691.30

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1.5x scale

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.