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Finding the Fourth Proportional to 1,216.98, 1,679.26 and 685.79

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Solution

The fourth proportional to 1,216.98, 1,679.26 and 685.79 is: 946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,679.26 = 685.79 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,679.26 = 685.79/x
  3. Step 3: Cross multiply
    1,216.98x = 1,679.26 × 685.79
  4. Step 4: Simplify right side
    1,216.98x = 1,151,613.80
  5. Step 5: Solve for x
    x = 1,151,613.80/1,216.98
  6. Step 6: Final answer
    x = 946.29

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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.