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Finding the Fourth Proportional to 997.58, 1,380.51 and 864.81

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Solution

The fourth proportional to 997.58, 1,380.51 and 864.81 is: 1,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.58 : 1,380.51 = 864.81 : x
  2. Step 2: Convert to fraction form
    997.58/1,380.51 = 864.81/x
  3. Step 3: Cross multiply
    997.58x = 1,380.51 × 864.81
  4. Step 4: Simplify right side
    997.58x = 1,193,878.85
  5. Step 5: Solve for x
    x = 1,193,878.85/997.58
  6. Step 6: Final answer
    x = 1,196.77

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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.