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Finding the Fourth Proportional to 752.42, 1,122.82 and 661.30

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Solution

The fourth proportional to 752.42, 1,122.82 and 661.30 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.42 : 1,122.82 = 661.30 : x
  2. Step 2: Convert to fraction form
    752.42/1,122.82 = 661.30/x
  3. Step 3: Cross multiply
    752.42x = 1,122.82 × 661.30
  4. Step 4: Simplify right side
    752.42x = 742,519.56
  5. Step 5: Solve for x
    x = 742,519.56/752.42
  6. Step 6: Final answer
    x = 986.85

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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.