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Finding the Fourth Proportional to 498.88, 749.69 and 467.78

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Solution

The fourth proportional to 498.88, 749.69 and 467.78 is: 702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 749.69 = 467.78 : x
  2. Step 2: Convert to fraction form
    498.88/749.69 = 467.78/x
  3. Step 3: Cross multiply
    498.88x = 749.69 × 467.78
  4. Step 4: Simplify right side
    498.88x = 350,687.65
  5. Step 5: Solve for x
    x = 350,687.65/498.88
  6. Step 6: Final answer
    x = 702.96

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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.