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Finding the Fourth Proportional to 1,299.92, 1,933.17 and 1,258.91

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Solution

The fourth proportional to 1,299.92, 1,933.17 and 1,258.91 is: 1,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.92 : 1,933.17 = 1,258.91 : x
  2. Step 2: Convert to fraction form
    1,299.92/1,933.17 = 1,258.91/x
  3. Step 3: Cross multiply
    1,299.92x = 1,933.17 × 1,258.91
  4. Step 4: Simplify right side
    1,299.92x = 2,433,677.38
  5. Step 5: Solve for x
    x = 2,433,677.38/1,299.92
  6. Step 6: Final answer
    x = 1,872.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.