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Finding the Fourth Proportional to 961.25, 1,434.85 and 825.17

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Solution

The fourth proportional to 961.25, 1,434.85 and 825.17 is: 1,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.25 : 1,434.85 = 825.17 : x
  2. Step 2: Convert to fraction form
    961.25/1,434.85 = 825.17/x
  3. Step 3: Cross multiply
    961.25x = 1,434.85 × 825.17
  4. Step 4: Simplify right side
    961.25x = 1,183,995.17
  5. Step 5: Solve for x
    x = 1,183,995.17/961.25
  6. Step 6: Final answer
    x = 1,231.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.