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Finding the Fourth Proportional to 1,257.92, 1,736.62 and 963.76

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Solution

The fourth proportional to 1,257.92, 1,736.62 and 963.76 is: 1,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.92 : 1,736.62 = 963.76 : x
  2. Step 2: Convert to fraction form
    1,257.92/1,736.62 = 963.76/x
  3. Step 3: Cross multiply
    1,257.92x = 1,736.62 × 963.76
  4. Step 4: Simplify right side
    1,257.92x = 1,673,684.89
  5. Step 5: Solve for x
    x = 1,673,684.89/1,257.92
  6. Step 6: Final answer
    x = 1,330.52

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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.