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Finding the Fourth Proportional to 1,176.66, 1,760.81 and 996.17

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Solution

The fourth proportional to 1,176.66, 1,760.81 and 996.17 is: 1,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.66 : 1,760.81 = 996.17 : x
  2. Step 2: Convert to fraction form
    1,176.66/1,760.81 = 996.17/x
  3. Step 3: Cross multiply
    1,176.66x = 1,760.81 × 996.17
  4. Step 4: Simplify right side
    1,176.66x = 1,754,052.31
  5. Step 5: Solve for x
    x = 1,754,052.31/1,176.66
  6. Step 6: Final answer
    x = 1,490.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.