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Finding the Fourth Proportional to 876.17, 1,309.41 and 825.59

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Solution

The fourth proportional to 876.17, 1,309.41 and 825.59 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.17 : 1,309.41 = 825.59 : x
  2. Step 2: Convert to fraction form
    876.17/1,309.41 = 825.59/x
  3. Step 3: Cross multiply
    876.17x = 1,309.41 × 825.59
  4. Step 4: Simplify right side
    876.17x = 1,081,035.80
  5. Step 5: Solve for x
    x = 1,081,035.80/876.17
  6. Step 6: Final answer
    x = 1,233.82

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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.