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Finding the Fourth Proportional to 749.38, 1,120.74 and 667.72

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Solution

The fourth proportional to 749.38, 1,120.74 and 667.72 is: 998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.38 : 1,120.74 = 667.72 : x
  2. Step 2: Convert to fraction form
    749.38/1,120.74 = 667.72/x
  3. Step 3: Cross multiply
    749.38x = 1,120.74 × 667.72
  4. Step 4: Simplify right side
    749.38x = 748,340.51
  5. Step 5: Solve for x
    x = 748,340.51/749.38
  6. Step 6: Final answer
    x = 998.61

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Double scale
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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.