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Finding the Fourth Proportional to 738.52, 1,103.73 and 680.14

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Solution

The fourth proportional to 738.52, 1,103.73 and 680.14 is: 1,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,103.73 = 680.14 : x
  2. Step 2: Convert to fraction form
    738.52/1,103.73 = 680.14/x
  3. Step 3: Cross multiply
    738.52x = 1,103.73 × 680.14
  4. Step 4: Simplify right side
    738.52x = 750,690.92
  5. Step 5: Solve for x
    x = 750,690.92/738.52
  6. Step 6: Final answer
    x = 1,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.