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Finding the Fourth Proportional to 747.41, 1,119.57 and 438.33

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Solution

The fourth proportional to 747.41, 1,119.57 and 438.33 is: 656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.41 : 1,119.57 = 438.33 : x
  2. Step 2: Convert to fraction form
    747.41/1,119.57 = 438.33/x
  3. Step 3: Cross multiply
    747.41x = 1,119.57 × 438.33
  4. Step 4: Simplify right side
    747.41x = 490,744.56
  5. Step 5: Solve for x
    x = 490,744.56/747.41
  6. Step 6: Final answer
    x = 656.59

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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.