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Finding the Fourth Proportional to 542, 812 and 425.12

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Solution

The fourth proportional to 542, 812 and 425.12 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 812 = 425.12 : x
  2. Step 2: Convert to fraction form
    542/812 = 425.12/x
  3. Step 3: Cross multiply
    542x = 812 × 425.12
  4. Step 4: Simplify right side
    542x = 345,197.44
  5. Step 5: Solve for x
    x = 345,197.44/542
  6. Step 6: Final answer
    x = 636.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.