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Finding the Fourth Proportional to 876.26, 1,209.42 and 823.51

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Solution

The fourth proportional to 876.26, 1,209.42 and 823.51 is: 1,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.26 : 1,209.42 = 823.51 : x
  2. Step 2: Convert to fraction form
    876.26/1,209.42 = 823.51/x
  3. Step 3: Cross multiply
    876.26x = 1,209.42 × 823.51
  4. Step 4: Simplify right side
    876.26x = 995,969.46
  5. Step 5: Solve for x
    x = 995,969.46/876.26
  6. Step 6: Final answer
    x = 1,136.61

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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.