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Finding the Fourth Proportional to 562.38, 842.45 and 342.74

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Solution

The fourth proportional to 562.38, 842.45 and 342.74 is: 513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 842.45 = 342.74 : x
  2. Step 2: Convert to fraction form
    562.38/842.45 = 342.74/x
  3. Step 3: Cross multiply
    562.38x = 842.45 × 342.74
  4. Step 4: Simplify right side
    562.38x = 288,735.39
  5. Step 5: Solve for x
    x = 288,735.39/562.38
  6. Step 6: Final answer
    x = 513.42

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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.