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Finding the Fourth Proportional to 562.14, 775.68 and 326.04

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Solution

The fourth proportional to 562.14, 775.68 and 326.04 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 775.68 = 326.04 : x
  2. Step 2: Convert to fraction form
    562.14/775.68 = 326.04/x
  3. Step 3: Cross multiply
    562.14x = 775.68 × 326.04
  4. Step 4: Simplify right side
    562.14x = 252,902.71
  5. Step 5: Solve for x
    x = 252,902.71/562.14
  6. Step 6: Final answer
    x = 449.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.