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Finding the Fourth Proportional to 737.75, 1,018.53 and 655.73

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Solution

The fourth proportional to 737.75, 1,018.53 and 655.73 is: 905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.75 : 1,018.53 = 655.73 : x
  2. Step 2: Convert to fraction form
    737.75/1,018.53 = 655.73/x
  3. Step 3: Cross multiply
    737.75x = 1,018.53 × 655.73
  4. Step 4: Simplify right side
    737.75x = 667,880.68
  5. Step 5: Solve for x
    x = 667,880.68/737.75
  6. Step 6: Final answer
    x = 905.29

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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.