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Finding the Fourth Proportional to 542.65, 748.67 and 332.66

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Solution

The fourth proportional to 542.65, 748.67 and 332.66 is: 458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.65 : 748.67 = 332.66 : x
  2. Step 2: Convert to fraction form
    542.65/748.67 = 332.66/x
  3. Step 3: Cross multiply
    542.65x = 748.67 × 332.66
  4. Step 4: Simplify right side
    542.65x = 249,054.23
  5. Step 5: Solve for x
    x = 249,054.23/542.65
  6. Step 6: Final answer
    x = 458.96

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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.