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Finding the Fourth Proportional to 467.65, 702.15 and 331.57

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Solution

The fourth proportional to 467.65, 702.15 and 331.57 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 702.15 = 331.57 : x
  2. Step 2: Convert to fraction form
    467.65/702.15 = 331.57/x
  3. Step 3: Cross multiply
    467.65x = 702.15 × 331.57
  4. Step 4: Simplify right side
    467.65x = 232,811.88
  5. Step 5: Solve for x
    x = 232,811.88/467.65
  6. Step 6: Final answer
    x = 497.83

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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.