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Finding the Fourth Proportional to 997.20, 1,502.46 and 918.48

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Solution

The fourth proportional to 997.20, 1,502.46 and 918.48 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.20 : 1,502.46 = 918.48 : x
  2. Step 2: Convert to fraction form
    997.20/1,502.46 = 918.48/x
  3. Step 3: Cross multiply
    997.20x = 1,502.46 × 918.48
  4. Step 4: Simplify right side
    997.20x = 1,379,979.46
  5. Step 5: Solve for x
    x = 1,379,979.46/997.20
  6. Step 6: Final answer
    x = 1,383.85

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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.