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Finding the Fourth Proportional to 753.21, 1,132.11 and 737.06

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Solution

The fourth proportional to 753.21, 1,132.11 and 737.06 is: 1,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.21 : 1,132.11 = 737.06 : x
  2. Step 2: Convert to fraction form
    753.21/1,132.11 = 737.06/x
  3. Step 3: Cross multiply
    753.21x = 1,132.11 × 737.06
  4. Step 4: Simplify right side
    753.21x = 834,427.34
  5. Step 5: Solve for x
    x = 834,427.34/753.21
  6. Step 6: Final answer
    x = 1,107.83

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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.