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Finding the Fourth Proportional to 1,247.88, 1,717.95 and 963.57

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Solution

The fourth proportional to 1,247.88, 1,717.95 and 963.57 is: 1,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.88 : 1,717.95 = 963.57 : x
  2. Step 2: Convert to fraction form
    1,247.88/1,717.95 = 963.57/x
  3. Step 3: Cross multiply
    1,247.88x = 1,717.95 × 963.57
  4. Step 4: Simplify right side
    1,247.88x = 1,655,365.08
  5. Step 5: Solve for x
    x = 1,655,365.08/1,247.88
  6. Step 6: Final answer
    x = 1,326.54

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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.