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Finding the Fourth Proportional to 1,073.38, 1,481.48 and 680.13

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Solution

The fourth proportional to 1,073.38, 1,481.48 and 680.13 is: 938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.38 : 1,481.48 = 680.13 : x
  2. Step 2: Convert to fraction form
    1,073.38/1,481.48 = 680.13/x
  3. Step 3: Cross multiply
    1,073.38x = 1,481.48 × 680.13
  4. Step 4: Simplify right side
    1,073.38x = 1,007,598.99
  5. Step 5: Solve for x
    x = 1,007,598.99/1,073.38
  6. Step 6: Final answer
    x = 938.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.