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Finding the Fourth Proportional to 737.50, 1,104.19 and 609.06

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Solution

The fourth proportional to 737.50, 1,104.19 and 609.06 is: 911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.50 : 1,104.19 = 609.06 : x
  2. Step 2: Convert to fraction form
    737.50/1,104.19 = 609.06/x
  3. Step 3: Cross multiply
    737.50x = 1,104.19 × 609.06
  4. Step 4: Simplify right side
    737.50x = 672,517.96
  5. Step 5: Solve for x
    x = 672,517.96/737.50
  6. Step 6: Final answer
    x = 911.89

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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.