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Finding the Fourth Proportional to 1,330.98, 1,996.46 and 745.70

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Solution

The fourth proportional to 1,330.98, 1,996.46 and 745.70 is: 1,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.98 : 1,996.46 = 745.70 : x
  2. Step 2: Convert to fraction form
    1,330.98/1,996.46 = 745.70/x
  3. Step 3: Cross multiply
    1,330.98x = 1,996.46 × 745.70
  4. Step 4: Simplify right side
    1,330.98x = 1,488,764.73
  5. Step 5: Solve for x
    x = 1,488,764.73/1,330.98
  6. Step 6: Final answer
    x = 1,118.55

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Double scale
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Similar ratio
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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.