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Finding the Fourth Proportional to 542.88, 818.10 and 462.78

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Solution

The fourth proportional to 542.88, 818.10 and 462.78 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 818.10 = 462.78 : x
  2. Step 2: Convert to fraction form
    542.88/818.10 = 462.78/x
  3. Step 3: Cross multiply
    542.88x = 818.10 × 462.78
  4. Step 4: Simplify right side
    542.88x = 378,600.32
  5. Step 5: Solve for x
    x = 378,600.32/542.88
  6. Step 6: Final answer
    x = 697.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.