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Finding the Fourth Proportional to 746.46, 1,119.42 and 421.56

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Solution

The fourth proportional to 746.46, 1,119.42 and 421.56 is: 632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.46 : 1,119.42 = 421.56 : x
  2. Step 2: Convert to fraction form
    746.46/1,119.42 = 421.56/x
  3. Step 3: Cross multiply
    746.46x = 1,119.42 × 421.56
  4. Step 4: Simplify right side
    746.46x = 471,902.70
  5. Step 5: Solve for x
    x = 471,902.70/746.46
  6. Step 6: Final answer
    x = 632.19

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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.