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Finding the Fourth Proportional to 1,335.70, 1,843.36 and 768.71

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Solution

The fourth proportional to 1,335.70, 1,843.36 and 768.71 is: 1,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.70 : 1,843.36 = 768.71 : x
  2. Step 2: Convert to fraction form
    1,335.70/1,843.36 = 768.71/x
  3. Step 3: Cross multiply
    1,335.70x = 1,843.36 × 768.71
  4. Step 4: Simplify right side
    1,335.70x = 1,417,000.05
  5. Step 5: Solve for x
    x = 1,417,000.05/1,335.70
  6. Step 6: Final answer
    x = 1,060.87

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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.