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Finding the Fourth Proportional to 1,016.97, 1,529.15 and 936.78

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Solution

The fourth proportional to 1,016.97, 1,529.15 and 936.78 is: 1,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.97 : 1,529.15 = 936.78 : x
  2. Step 2: Convert to fraction form
    1,016.97/1,529.15 = 936.78/x
  3. Step 3: Cross multiply
    1,016.97x = 1,529.15 × 936.78
  4. Step 4: Simplify right side
    1,016.97x = 1,432,472.45
  5. Step 5: Solve for x
    x = 1,432,472.45/1,016.97
  6. Step 6: Final answer
    x = 1,408.57

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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.