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Finding the Fourth Proportional to 1,016.34, 1,400.91 and 684.66

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Solution

The fourth proportional to 1,016.34, 1,400.91 and 684.66 is: 943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,400.91 = 684.66 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,400.91 = 684.66/x
  3. Step 3: Cross multiply
    1,016.34x = 1,400.91 × 684.66
  4. Step 4: Simplify right side
    1,016.34x = 959,147.04
  5. Step 5: Solve for x
    x = 959,147.04/1,016.34
  6. Step 6: Final answer
    x = 943.73

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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.