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Finding the Fourth Proportional to 1,299.79, 1,932.99 and 1,258.78

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Solution

The fourth proportional to 1,299.79, 1,932.99 and 1,258.78 is: 1,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.79 : 1,932.99 = 1,258.78 : x
  2. Step 2: Convert to fraction form
    1,299.79/1,932.99 = 1,258.78/x
  3. Step 3: Cross multiply
    1,299.79x = 1,932.99 × 1,258.78
  4. Step 4: Simplify right side
    1,299.79x = 2,433,202.86
  5. Step 5: Solve for x
    x = 2,433,202.86/1,299.79
  6. Step 6: Final answer
    x = 1,872.00

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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.