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Finding the Fourth Proportional to 562.62, 842.13 and 301.97

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Solution

The fourth proportional to 562.62, 842.13 and 301.97 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.62 : 842.13 = 301.97 : x
  2. Step 2: Convert to fraction form
    562.62/842.13 = 301.97/x
  3. Step 3: Cross multiply
    562.62x = 842.13 × 301.97
  4. Step 4: Simplify right side
    562.62x = 254,293.79
  5. Step 5: Solve for x
    x = 254,293.79/562.62
  6. Step 6: Final answer
    x = 451.98

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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.