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Finding the Fourth Proportional to 752.82, 1,122.69 and 643.80

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Solution

The fourth proportional to 752.82, 1,122.69 and 643.80 is: 960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.82 : 1,122.69 = 643.80 : x
  2. Step 2: Convert to fraction form
    752.82/1,122.69 = 643.80/x
  3. Step 3: Cross multiply
    752.82x = 1,122.69 × 643.80
  4. Step 4: Simplify right side
    752.82x = 722,787.82
  5. Step 5: Solve for x
    x = 722,787.82/752.82
  6. Step 6: Final answer
    x = 960.11

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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.