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Finding the Fourth Proportional to 462.75, 638.35 and 287.97

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Solution

The fourth proportional to 462.75, 638.35 and 287.97 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 638.35 = 287.97 : x
  2. Step 2: Convert to fraction form
    462.75/638.35 = 287.97/x
  3. Step 3: Cross multiply
    462.75x = 638.35 × 287.97
  4. Step 4: Simplify right side
    462.75x = 183,825.65
  5. Step 5: Solve for x
    x = 183,825.65/462.75
  6. Step 6: Final answer
    x = 397.25

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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.