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Finding the Fourth Proportional to 752.61, 1,123.46 and 650.55

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Solution

The fourth proportional to 752.61, 1,123.46 and 650.55 is: 971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.61 : 1,123.46 = 650.55 : x
  2. Step 2: Convert to fraction form
    752.61/1,123.46 = 650.55/x
  3. Step 3: Cross multiply
    752.61x = 1,123.46 × 650.55
  4. Step 4: Simplify right side
    752.61x = 730,868.53
  5. Step 5: Solve for x
    x = 730,868.53/752.61
  6. Step 6: Final answer
    x = 971.11

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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.