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Finding the Fourth Proportional to 1,031.45, 1,542.42 and 768.38

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Solution

The fourth proportional to 1,031.45, 1,542.42 and 768.38 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.45 : 1,542.42 = 768.38 : x
  2. Step 2: Convert to fraction form
    1,031.45/1,542.42 = 768.38/x
  3. Step 3: Cross multiply
    1,031.45x = 1,542.42 × 768.38
  4. Step 4: Simplify right side
    1,031.45x = 1,185,156.97
  5. Step 5: Solve for x
    x = 1,185,156.97/1,031.45
  6. Step 6: Final answer
    x = 1,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.