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Finding the Fourth Proportional to 752.86, 1,123.84 and 650.80

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Solution

The fourth proportional to 752.86, 1,123.84 and 650.80 is: 971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.86 : 1,123.84 = 650.80 : x
  2. Step 2: Convert to fraction form
    752.86/1,123.84 = 650.80/x
  3. Step 3: Cross multiply
    752.86x = 1,123.84 × 650.80
  4. Step 4: Simplify right side
    752.86x = 731,391.82
  5. Step 5: Solve for x
    x = 731,391.82/752.86
  6. Step 6: Final answer
    x = 971.48

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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.