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Finding the Fourth Proportional to 752.42, 1,120.90 and 733.34

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Solution

The fourth proportional to 752.42, 1,120.90 and 733.34 is: 1,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.42 : 1,120.90 = 733.34 : x
  2. Step 2: Convert to fraction form
    752.42/1,120.90 = 733.34/x
  3. Step 3: Cross multiply
    752.42x = 1,120.90 × 733.34
  4. Step 4: Simplify right side
    752.42x = 822,000.81
  5. Step 5: Solve for x
    x = 822,000.81/752.42
  6. Step 6: Final answer
    x = 1,092.48

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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.