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Finding the Fourth Proportional to 1,240.20, 1,711.46 and 680.70

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Solution

The fourth proportional to 1,240.20, 1,711.46 and 680.70 is: 939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.20 : 1,711.46 = 680.70 : x
  2. Step 2: Convert to fraction form
    1,240.20/1,711.46 = 680.70/x
  3. Step 3: Cross multiply
    1,240.20x = 1,711.46 × 680.70
  4. Step 4: Simplify right side
    1,240.20x = 1,164,990.82
  5. Step 5: Solve for x
    x = 1,164,990.82/1,240.20
  6. Step 6: Final answer
    x = 939.36

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1.5x scale

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.