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Finding the Fourth Proportional to 833.13, 1,250.20 and 826.25

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Solution

The fourth proportional to 833.13, 1,250.20 and 826.25 is: 1,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.13 : 1,250.20 = 826.25 : x
  2. Step 2: Convert to fraction form
    833.13/1,250.20 = 826.25/x
  3. Step 3: Cross multiply
    833.13x = 1,250.20 × 826.25
  4. Step 4: Simplify right side
    833.13x = 1,032,972.53
  5. Step 5: Solve for x
    x = 1,032,972.53/833.13
  6. Step 6: Final answer
    x = 1,239.87

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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.