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Finding the Fourth Proportional to 737.29, 1,105.57 and 420.64

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Solution

The fourth proportional to 737.29, 1,105.57 and 420.64 is: 630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.29 : 1,105.57 = 420.64 : x
  2. Step 2: Convert to fraction form
    737.29/1,105.57 = 420.64/x
  3. Step 3: Cross multiply
    737.29x = 1,105.57 × 420.64
  4. Step 4: Simplify right side
    737.29x = 465,040.39
  5. Step 5: Solve for x
    x = 465,040.39/737.29
  6. Step 6: Final answer
    x = 630.75

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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.