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Finding the Fourth Proportional to 562.27, 842.19 and 378.85

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Solution

The fourth proportional to 562.27, 842.19 and 378.85 is: 567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.27 : 842.19 = 378.85 : x
  2. Step 2: Convert to fraction form
    562.27/842.19 = 378.85/x
  3. Step 3: Cross multiply
    562.27x = 842.19 × 378.85
  4. Step 4: Simplify right side
    562.27x = 319,063.68
  5. Step 5: Solve for x
    x = 319,063.68/562.27
  6. Step 6: Final answer
    x = 567.46

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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.