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Finding the Fourth Proportional to 737.48, 1,101.22 and 650.12

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Solution

The fourth proportional to 737.48, 1,101.22 and 650.12 is: 970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.48 : 1,101.22 = 650.12 : x
  2. Step 2: Convert to fraction form
    737.48/1,101.22 = 650.12/x
  3. Step 3: Cross multiply
    737.48x = 1,101.22 × 650.12
  4. Step 4: Simplify right side
    737.48x = 715,918.02
  5. Step 5: Solve for x
    x = 715,918.02/737.48
  6. Step 6: Final answer
    x = 970.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.