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Finding the Fourth Proportional to 746.62, 1,119.86 and 308.11

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Solution

The fourth proportional to 746.62, 1,119.86 and 308.11 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,119.86 = 308.11 : x
  2. Step 2: Convert to fraction form
    746.62/1,119.86 = 308.11/x
  3. Step 3: Cross multiply
    746.62x = 1,119.86 × 308.11
  4. Step 4: Simplify right side
    746.62x = 345,038.52
  5. Step 5: Solve for x
    x = 345,038.52/746.62
  6. Step 6: Final answer
    x = 462.13

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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.