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Finding the Fourth Proportional to 1,125.27, 1,689.12 and 895.64

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Solution

The fourth proportional to 1,125.27, 1,689.12 and 895.64 is: 1,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.27 : 1,689.12 = 895.64 : x
  2. Step 2: Convert to fraction form
    1,125.27/1,689.12 = 895.64/x
  3. Step 3: Cross multiply
    1,125.27x = 1,689.12 × 895.64
  4. Step 4: Simplify right side
    1,125.27x = 1,512,843.44
  5. Step 5: Solve for x
    x = 1,512,843.44/1,125.27
  6. Step 6: Final answer
    x = 1,344.43

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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.