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Finding the Fourth Proportional to 422.80, 586.12 and 400.88

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Solution

The fourth proportional to 422.80, 586.12 and 400.88 is: 555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 586.12 = 400.88 : x
  2. Step 2: Convert to fraction form
    422.80/586.12 = 400.88/x
  3. Step 3: Cross multiply
    422.80x = 586.12 × 400.88
  4. Step 4: Simplify right side
    422.80x = 234,963.79
  5. Step 5: Solve for x
    x = 234,963.79/422.80
  6. Step 6: Final answer
    x = 555.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.