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Finding the Fourth Proportional to 1,394.57, 1,924.78 and 922.49

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Solution

The fourth proportional to 1,394.57, 1,924.78 and 922.49 is: 1,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.57 : 1,924.78 = 922.49 : x
  2. Step 2: Convert to fraction form
    1,394.57/1,924.78 = 922.49/x
  3. Step 3: Cross multiply
    1,394.57x = 1,924.78 × 922.49
  4. Step 4: Simplify right side
    1,394.57x = 1,775,578.37
  5. Step 5: Solve for x
    x = 1,775,578.37/1,394.57
  6. Step 6: Final answer
    x = 1,273.21

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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.