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Finding the Fourth Proportional to 2,256.92, 3,384.65 and 717.56

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Solution

The fourth proportional to 2,256.92, 3,384.65 and 717.56 is: 1,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.92 : 3,384.65 = 717.56 : x
  2. Step 2: Convert to fraction form
    2,256.92/3,384.65 = 717.56/x
  3. Step 3: Cross multiply
    2,256.92x = 3,384.65 × 717.56
  4. Step 4: Simplify right side
    2,256.92x = 2,428,689.45
  5. Step 5: Solve for x
    x = 2,428,689.45/2,256.92
  6. Step 6: Final answer
    x = 1,076.11

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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.