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Finding the Fourth Proportional to 884.24, 1,217.46 and 751.17

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Solution

The fourth proportional to 884.24, 1,217.46 and 751.17 is: 1,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.24 : 1,217.46 = 751.17 : x
  2. Step 2: Convert to fraction form
    884.24/1,217.46 = 751.17/x
  3. Step 3: Cross multiply
    884.24x = 1,217.46 × 751.17
  4. Step 4: Simplify right side
    884.24x = 914,519.43
  5. Step 5: Solve for x
    x = 914,519.43/884.24
  6. Step 6: Final answer
    x = 1,034.25

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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.