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Finding the Fourth Proportional to 542.42, 748.20 and 411.20

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Solution

The fourth proportional to 542.42, 748.20 and 411.20 is: 567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 748.20 = 411.20 : x
  2. Step 2: Convert to fraction form
    542.42/748.20 = 411.20/x
  3. Step 3: Cross multiply
    542.42x = 748.20 × 411.20
  4. Step 4: Simplify right side
    542.42x = 307,659.84
  5. Step 5: Solve for x
    x = 307,659.84/542.42
  6. Step 6: Final answer
    x = 567.20

Related Problems

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Double scale
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Similar ratio
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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.