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Finding the Fourth Proportional to 854.43, 1,282.26 and 638.57

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Solution

The fourth proportional to 854.43, 1,282.26 and 638.57 is: 958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.43 : 1,282.26 = 638.57 : x
  2. Step 2: Convert to fraction form
    854.43/1,282.26 = 638.57/x
  3. Step 3: Cross multiply
    854.43x = 1,282.26 × 638.57
  4. Step 4: Simplify right side
    854.43x = 818,806.36
  5. Step 5: Solve for x
    x = 818,806.36/854.43
  6. Step 6: Final answer
    x = 958.31

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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.