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Finding the Fourth Proportional to 737.38, 1,105.35 and 412.03

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Solution

The fourth proportional to 737.38, 1,105.35 and 412.03 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.38 : 1,105.35 = 412.03 : x
  2. Step 2: Convert to fraction form
    737.38/1,105.35 = 412.03/x
  3. Step 3: Cross multiply
    737.38x = 1,105.35 × 412.03
  4. Step 4: Simplify right side
    737.38x = 455,437.36
  5. Step 5: Solve for x
    x = 455,437.36/737.38
  6. Step 6: Final answer
    x = 617.64

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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.