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Finding the Fourth Proportional to 1,240.37, 1,711.80 and 847.92

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Solution

The fourth proportional to 1,240.37, 1,711.80 and 847.92 is: 1,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.37 : 1,711.80 = 847.92 : x
  2. Step 2: Convert to fraction form
    1,240.37/1,711.80 = 847.92/x
  3. Step 3: Cross multiply
    1,240.37x = 1,711.80 × 847.92
  4. Step 4: Simplify right side
    1,240.37x = 1,451,469.46
  5. Step 5: Solve for x
    x = 1,451,469.46/1,240.37
  6. Step 6: Final answer
    x = 1,170.20

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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.