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Finding the Fourth Proportional to 1,220.26, 1,684.73 and 866.92

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Solution

The fourth proportional to 1,220.26, 1,684.73 and 866.92 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.26 : 1,684.73 = 866.92 : x
  2. Step 2: Convert to fraction form
    1,220.26/1,684.73 = 866.92/x
  3. Step 3: Cross multiply
    1,220.26x = 1,684.73 × 866.92
  4. Step 4: Simplify right side
    1,220.26x = 1,460,521.80
  5. Step 5: Solve for x
    x = 1,460,521.80/1,220.26
  6. Step 6: Final answer
    x = 1,196.89

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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.