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Finding the Fourth Proportional to 752.00, 1,130.73 and 691.85

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Solution

The fourth proportional to 752.00, 1,130.73 and 691.85 is: 1,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.00 : 1,130.73 = 691.85 : x
  2. Step 2: Convert to fraction form
    752.00/1,130.73 = 691.85/x
  3. Step 3: Cross multiply
    752.00x = 1,130.73 × 691.85
  4. Step 4: Simplify right side
    752.00x = 782,300.97
  5. Step 5: Solve for x
    x = 782,300.97/752.00
  6. Step 6: Final answer
    x = 1,040.30

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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.