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Finding the Fourth Proportional to 1,016.75, 1,401.71 and 684.65

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Solution

The fourth proportional to 1,016.75, 1,401.71 and 684.65 is: 943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.75 : 1,401.71 = 684.65 : x
  2. Step 2: Convert to fraction form
    1,016.75/1,401.71 = 684.65/x
  3. Step 3: Cross multiply
    1,016.75x = 1,401.71 × 684.65
  4. Step 4: Simplify right side
    1,016.75x = 959,680.83
  5. Step 5: Solve for x
    x = 959,680.83/1,016.75
  6. Step 6: Final answer
    x = 943.87

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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.