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Finding the Fourth Proportional to 1,367.14, 2,049.25 and 780.88

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Solution

The fourth proportional to 1,367.14, 2,049.25 and 780.88 is: 1,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.14 : 2,049.25 = 780.88 : x
  2. Step 2: Convert to fraction form
    1,367.14/2,049.25 = 780.88/x
  3. Step 3: Cross multiply
    1,367.14x = 2,049.25 × 780.88
  4. Step 4: Simplify right side
    1,367.14x = 1,600,218.34
  5. Step 5: Solve for x
    x = 1,600,218.34/1,367.14
  6. Step 6: Final answer
    x = 1,170.49

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1.5x scale

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.