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Finding the Fourth Proportional to 767.92, 1,156.07 and 699.88

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Solution

The fourth proportional to 767.92, 1,156.07 and 699.88 is: 1,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.92 : 1,156.07 = 699.88 : x
  2. Step 2: Convert to fraction form
    767.92/1,156.07 = 699.88/x
  3. Step 3: Cross multiply
    767.92x = 1,156.07 × 699.88
  4. Step 4: Simplify right side
    767.92x = 809,110.27
  5. Step 5: Solve for x
    x = 809,110.27/767.92
  6. Step 6: Final answer
    x = 1,053.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.