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Finding the Fourth Proportional to 1,249.38, 1,724.14 and 697.38

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Solution

The fourth proportional to 1,249.38, 1,724.14 and 697.38 is: 962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.38 : 1,724.14 = 697.38 : x
  2. Step 2: Convert to fraction form
    1,249.38/1,724.14 = 697.38/x
  3. Step 3: Cross multiply
    1,249.38x = 1,724.14 × 697.38
  4. Step 4: Simplify right side
    1,249.38x = 1,202,380.75
  5. Step 5: Solve for x
    x = 1,202,380.75/1,249.38
  6. Step 6: Final answer
    x = 962.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,250.38, 1,725.52 and 698.38
Similar ratio
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1.5x scale

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.