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Finding the Fourth Proportional to 1,398.44, 1,932.28 and 1,149.57

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Solution

The fourth proportional to 1,398.44, 1,932.28 and 1,149.57 is: 1,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.44 : 1,932.28 = 1,149.57 : x
  2. Step 2: Convert to fraction form
    1,398.44/1,932.28 = 1,149.57/x
  3. Step 3: Cross multiply
    1,398.44x = 1,932.28 × 1,149.57
  4. Step 4: Simplify right side
    1,398.44x = 2,221,291.12
  5. Step 5: Solve for x
    x = 2,221,291.12/1,398.44
  6. Step 6: Final answer
    x = 1,588.41

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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.