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Finding the Fourth Proportional to 1,221.26, 1,685.31 and 906.88

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Solution

The fourth proportional to 1,221.26, 1,685.31 and 906.88 is: 1,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.26 : 1,685.31 = 906.88 : x
  2. Step 2: Convert to fraction form
    1,221.26/1,685.31 = 906.88/x
  3. Step 3: Cross multiply
    1,221.26x = 1,685.31 × 906.88
  4. Step 4: Simplify right side
    1,221.26x = 1,528,369.48
  5. Step 5: Solve for x
    x = 1,528,369.48/1,221.26
  6. Step 6: Final answer
    x = 1,251.47

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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.