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Finding the Fourth Proportional to 880.26, 1,318.10 and 854.29

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Solution

The fourth proportional to 880.26, 1,318.10 and 854.29 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.26 : 1,318.10 = 854.29 : x
  2. Step 2: Convert to fraction form
    880.26/1,318.10 = 854.29/x
  3. Step 3: Cross multiply
    880.26x = 1,318.10 × 854.29
  4. Step 4: Simplify right side
    880.26x = 1,126,033.06
  5. Step 5: Solve for x
    x = 1,126,033.06/880.26
  6. Step 6: Final answer
    x = 1,279.21

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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.