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Finding the Fourth Proportional to 868.33, 1,299.39 and 810.40

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Solution

The fourth proportional to 868.33, 1,299.39 and 810.40 is: 1,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.33 : 1,299.39 = 810.40 : x
  2. Step 2: Convert to fraction form
    868.33/1,299.39 = 810.40/x
  3. Step 3: Cross multiply
    868.33x = 1,299.39 × 810.40
  4. Step 4: Simplify right side
    868.33x = 1,053,025.66
  5. Step 5: Solve for x
    x = 1,053,025.66/868.33
  6. Step 6: Final answer
    x = 1,212.70

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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.