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Finding the Fourth Proportional to 752.26, 1,127.42 and 318.82

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Solution

The fourth proportional to 752.26, 1,127.42 and 318.82 is: 477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.26 : 1,127.42 = 318.82 : x
  2. Step 2: Convert to fraction form
    752.26/1,127.42 = 318.82/x
  3. Step 3: Cross multiply
    752.26x = 1,127.42 × 318.82
  4. Step 4: Simplify right side
    752.26x = 359,438.41
  5. Step 5: Solve for x
    x = 359,438.41/752.26
  6. Step 6: Final answer
    x = 477.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.