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Finding the Fourth Proportional to 766.84, 1,155.77 and 724.45

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Solution

The fourth proportional to 766.84, 1,155.77 and 724.45 is: 1,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.84 : 1,155.77 = 724.45 : x
  2. Step 2: Convert to fraction form
    766.84/1,155.77 = 724.45/x
  3. Step 3: Cross multiply
    766.84x = 1,155.77 × 724.45
  4. Step 4: Simplify right side
    766.84x = 837,297.58
  5. Step 5: Solve for x
    x = 837,297.58/766.84
  6. Step 6: Final answer
    x = 1,091.88

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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.