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Finding the Fourth Proportional to 767.40, 1,057.86 and 611.88

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Solution

The fourth proportional to 767.40, 1,057.86 and 611.88 is: 843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,057.86 = 611.88 : x
  2. Step 2: Convert to fraction form
    767.40/1,057.86 = 611.88/x
  3. Step 3: Cross multiply
    767.40x = 1,057.86 × 611.88
  4. Step 4: Simplify right side
    767.40x = 647,283.38
  5. Step 5: Solve for x
    x = 647,283.38/767.40
  6. Step 6: Final answer
    x = 843.48

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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.