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Finding the Fourth Proportional to 1,311.20, 1,807.49 and 868.33

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Solution

The fourth proportional to 1,311.20, 1,807.49 and 868.33 is: 1,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.20 : 1,807.49 = 868.33 : x
  2. Step 2: Convert to fraction form
    1,311.20/1,807.49 = 868.33/x
  3. Step 3: Cross multiply
    1,311.20x = 1,807.49 × 868.33
  4. Step 4: Simplify right side
    1,311.20x = 1,569,495.44
  5. Step 5: Solve for x
    x = 1,569,495.44/1,311.20
  6. Step 6: Final answer
    x = 1,197.00

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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.