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Finding the Fourth Proportional to 747.75, 1,119.31 and 683.96

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Solution

The fourth proportional to 747.75, 1,119.31 and 683.96 is: 1,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.75 : 1,119.31 = 683.96 : x
  2. Step 2: Convert to fraction form
    747.75/1,119.31 = 683.96/x
  3. Step 3: Cross multiply
    747.75x = 1,119.31 × 683.96
  4. Step 4: Simplify right side
    747.75x = 765,557.67
  5. Step 5: Solve for x
    x = 765,557.67/747.75
  6. Step 6: Final answer
    x = 1,023.82

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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.