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Finding the Fourth Proportional to 752.82, 1,039.60 and 711.91

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Solution

The fourth proportional to 752.82, 1,039.60 and 711.91 is: 983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.82 : 1,039.60 = 711.91 : x
  2. Step 2: Convert to fraction form
    752.82/1,039.60 = 711.91/x
  3. Step 3: Cross multiply
    752.82x = 1,039.60 × 711.91
  4. Step 4: Simplify right side
    752.82x = 740,101.64
  5. Step 5: Solve for x
    x = 740,101.64/752.82
  6. Step 6: Final answer
    x = 983.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.