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Finding the Fourth Proportional to 1,244.73, 1,867.23 and 422.94

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Solution

The fourth proportional to 1,244.73, 1,867.23 and 422.94 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.73 : 1,867.23 = 422.94 : x
  2. Step 2: Convert to fraction form
    1,244.73/1,867.23 = 422.94/x
  3. Step 3: Cross multiply
    1,244.73x = 1,867.23 × 422.94
  4. Step 4: Simplify right side
    1,244.73x = 789,726.26
  5. Step 5: Solve for x
    x = 789,726.26/1,244.73
  6. Step 6: Final answer
    x = 634.46

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.