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Finding the Fourth Proportional to 542.31, 747.36 and 394.67

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Solution

The fourth proportional to 542.31, 747.36 and 394.67 is: 543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 747.36 = 394.67 : x
  2. Step 2: Convert to fraction form
    542.31/747.36 = 394.67/x
  3. Step 3: Cross multiply
    542.31x = 747.36 × 394.67
  4. Step 4: Simplify right side
    542.31x = 294,956.83
  5. Step 5: Solve for x
    x = 294,956.83/542.31
  6. Step 6: Final answer
    x = 543.89

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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.