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Finding the Fourth Proportional to 542.20, 812.38 and 426.16

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Solution

The fourth proportional to 542.20, 812.38 and 426.16 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.20 : 812.38 = 426.16 : x
  2. Step 2: Convert to fraction form
    542.20/812.38 = 426.16/x
  3. Step 3: Cross multiply
    542.20x = 812.38 × 426.16
  4. Step 4: Simplify right side
    542.20x = 346,203.86
  5. Step 5: Solve for x
    x = 346,203.86/542.20
  6. Step 6: Final answer
    x = 638.52

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1.5x scale

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.