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Finding the Fourth Proportional to 854.27, 1,281.50 and 639.22

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Solution

The fourth proportional to 854.27, 1,281.50 and 639.22 is: 958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.27 : 1,281.50 = 639.22 : x
  2. Step 2: Convert to fraction form
    854.27/1,281.50 = 639.22/x
  3. Step 3: Cross multiply
    854.27x = 1,281.50 × 639.22
  4. Step 4: Simplify right side
    854.27x = 819,160.43
  5. Step 5: Solve for x
    x = 819,160.43/854.27
  6. Step 6: Final answer
    x = 958.90

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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.