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Finding the Fourth Proportional to 752.09, 1,132.53 and 655.75

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Solution

The fourth proportional to 752.09, 1,132.53 and 655.75 is: 987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.09 : 1,132.53 = 655.75 : x
  2. Step 2: Convert to fraction form
    752.09/1,132.53 = 655.75/x
  3. Step 3: Cross multiply
    752.09x = 1,132.53 × 655.75
  4. Step 4: Simplify right side
    752.09x = 742,652.82
  5. Step 5: Solve for x
    x = 742,652.82/752.09
  6. Step 6: Final answer
    x = 987.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.