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Finding the Fourth Proportional to 1,198.44, 1,656.27 and 903.60

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Solution

The fourth proportional to 1,198.44, 1,656.27 and 903.60 is: 1,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.44 : 1,656.27 = 903.60 : x
  2. Step 2: Convert to fraction form
    1,198.44/1,656.27 = 903.60/x
  3. Step 3: Cross multiply
    1,198.44x = 1,656.27 × 903.60
  4. Step 4: Simplify right side
    1,198.44x = 1,496,605.57
  5. Step 5: Solve for x
    x = 1,496,605.57/1,198.44
  6. Step 6: Final answer
    x = 1,248.79

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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.