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Finding the Fourth Proportional to 1,229.04, 1,850.72 and 906.66

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Solution

The fourth proportional to 1,229.04, 1,850.72 and 906.66 is: 1,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.04 : 1,850.72 = 906.66 : x
  2. Step 2: Convert to fraction form
    1,229.04/1,850.72 = 906.66/x
  3. Step 3: Cross multiply
    1,229.04x = 1,850.72 × 906.66
  4. Step 4: Simplify right side
    1,229.04x = 1,677,969.26
  5. Step 5: Solve for x
    x = 1,677,969.26/1,229.04
  6. Step 6: Final answer
    x = 1,365.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.