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Finding the Fourth Proportional to 1,217.10, 1,679.48 and 685.86

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Solution

The fourth proportional to 1,217.10, 1,679.48 and 685.86 is: 946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.10 : 1,679.48 = 685.86 : x
  2. Step 2: Convert to fraction form
    1,217.10/1,679.48 = 685.86/x
  3. Step 3: Cross multiply
    1,217.10x = 1,679.48 × 685.86
  4. Step 4: Simplify right side
    1,217.10x = 1,151,888.15
  5. Step 5: Solve for x
    x = 1,151,888.15/1,217.10
  6. Step 6: Final answer
    x = 946.42

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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.