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Finding the Fourth Proportional to 996.68, 1,371.66 and 893

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Solution

The fourth proportional to 996.68, 1,371.66 and 893 is: 1,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.68 : 1,371.66 = 893 : x
  2. Step 2: Convert to fraction form
    996.68/1,371.66 = 893/x
  3. Step 3: Cross multiply
    996.68x = 1,371.66 × 893
  4. Step 4: Simplify right side
    996.68x = 1,224,892.38
  5. Step 5: Solve for x
    x = 1,224,892.38/996.68
  6. Step 6: Final answer
    x = 1,228.97

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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.