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Finding the Fourth Proportional to 1,239.97, 1,711.15 and 680.42

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Solution

The fourth proportional to 1,239.97, 1,711.15 and 680.42 is: 938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.97 : 1,711.15 = 680.42 : x
  2. Step 2: Convert to fraction form
    1,239.97/1,711.15 = 680.42/x
  3. Step 3: Cross multiply
    1,239.97x = 1,711.15 × 680.42
  4. Step 4: Simplify right side
    1,239.97x = 1,164,297.28
  5. Step 5: Solve for x
    x = 1,164,297.28/1,239.97
  6. Step 6: Final answer
    x = 938.98

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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.