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Finding the Fourth Proportional to 562.64, 843.78 and 177.86

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Solution

The fourth proportional to 562.64, 843.78 and 177.86 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 843.78 = 177.86 : x
  2. Step 2: Convert to fraction form
    562.64/843.78 = 177.86/x
  3. Step 3: Cross multiply
    562.64x = 843.78 × 177.86
  4. Step 4: Simplify right side
    562.64x = 150,074.71
  5. Step 5: Solve for x
    x = 150,074.71/562.64
  6. Step 6: Final answer
    x = 266.73

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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.