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Finding the Fourth Proportional to 825.27, 1,132.82 and 751.16

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Solution

The fourth proportional to 825.27, 1,132.82 and 751.16 is: 1,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,132.82 = 751.16 : x
  2. Step 2: Convert to fraction form
    825.27/1,132.82 = 751.16/x
  3. Step 3: Cross multiply
    825.27x = 1,132.82 × 751.16
  4. Step 4: Simplify right side
    825.27x = 850,919.65
  5. Step 5: Solve for x
    x = 850,919.65/825.27
  6. Step 6: Final answer
    x = 1,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.