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Finding the Fourth Proportional to 562.85, 775.89 and 396.80

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Solution

The fourth proportional to 562.85, 775.89 and 396.80 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.85 : 775.89 = 396.80 : x
  2. Step 2: Convert to fraction form
    562.85/775.89 = 396.80/x
  3. Step 3: Cross multiply
    562.85x = 775.89 × 396.80
  4. Step 4: Simplify right side
    562.85x = 307,873.15
  5. Step 5: Solve for x
    x = 307,873.15/562.85
  6. Step 6: Final answer
    x = 546.99

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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.