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Finding the Fourth Proportional to 562.82, 840.41 and 445.95

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Solution

The fourth proportional to 562.82, 840.41 and 445.95 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 840.41 = 445.95 : x
  2. Step 2: Convert to fraction form
    562.82/840.41 = 445.95/x
  3. Step 3: Cross multiply
    562.82x = 840.41 × 445.95
  4. Step 4: Simplify right side
    562.82x = 374,778.61
  5. Step 5: Solve for x
    x = 374,778.61/562.82
  6. Step 6: Final answer
    x = 665.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.