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Finding the Fourth Proportional to 562.73, 842.48 and 447.35

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Solution

The fourth proportional to 562.73, 842.48 and 447.35 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.73 : 842.48 = 447.35 : x
  2. Step 2: Convert to fraction form
    562.73/842.48 = 447.35/x
  3. Step 3: Cross multiply
    562.73x = 842.48 × 447.35
  4. Step 4: Simplify right side
    562.73x = 376,876.98
  5. Step 5: Solve for x
    x = 376,876.98/562.73
  6. Step 6: Final answer
    x = 669.74

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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.