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Finding the Fourth Proportional to 1,367.53, 1,887.02 and 769.95

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Solution

The fourth proportional to 1,367.53, 1,887.02 and 769.95 is: 1,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.53 : 1,887.02 = 769.95 : x
  2. Step 2: Convert to fraction form
    1,367.53/1,887.02 = 769.95/x
  3. Step 3: Cross multiply
    1,367.53x = 1,887.02 × 769.95
  4. Step 4: Simplify right side
    1,367.53x = 1,452,902.48
  5. Step 5: Solve for x
    x = 1,452,902.48/1,367.53
  6. Step 6: Final answer
    x = 1,062.43

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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.