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Finding the Fourth Proportional to 747.19, 1,120.78 and 234.19

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Solution

The fourth proportional to 747.19, 1,120.78 and 234.19 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.19 : 1,120.78 = 234.19 : x
  2. Step 2: Convert to fraction form
    747.19/1,120.78 = 234.19/x
  3. Step 3: Cross multiply
    747.19x = 1,120.78 × 234.19
  4. Step 4: Simplify right side
    747.19x = 262,472.96
  5. Step 5: Solve for x
    x = 262,472.96/747.19
  6. Step 6: Final answer
    x = 351.28

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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.