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Finding the Fourth Proportional to 562.55, 842.67 and 447.17

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Solution

The fourth proportional to 562.55, 842.67 and 447.17 is: 669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 842.67 = 447.17 : x
  2. Step 2: Convert to fraction form
    562.55/842.67 = 447.17/x
  3. Step 3: Cross multiply
    562.55x = 842.67 × 447.17
  4. Step 4: Simplify right side
    562.55x = 376,812.53
  5. Step 5: Solve for x
    x = 376,812.53/562.55
  6. Step 6: Final answer
    x = 669.84

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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.