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Finding the Fourth Proportional to 752.86, 1,120.91 and 749.20

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Solution

The fourth proportional to 752.86, 1,120.91 and 749.20 is: 1,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.86 : 1,120.91 = 749.20 : x
  2. Step 2: Convert to fraction form
    752.86/1,120.91 = 749.20/x
  3. Step 3: Cross multiply
    752.86x = 1,120.91 × 749.20
  4. Step 4: Simplify right side
    752.86x = 839,785.77
  5. Step 5: Solve for x
    x = 839,785.77/752.86
  6. Step 6: Final answer
    x = 1,115.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.