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Finding the Fourth Proportional to 1,227.11, 1,840.10 and 446.57

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Solution

The fourth proportional to 1,227.11, 1,840.10 and 446.57 is: 669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.11 : 1,840.10 = 446.57 : x
  2. Step 2: Convert to fraction form
    1,227.11/1,840.10 = 446.57/x
  3. Step 3: Cross multiply
    1,227.11x = 1,840.10 × 446.57
  4. Step 4: Simplify right side
    1,227.11x = 821,722.02
  5. Step 5: Solve for x
    x = 821,722.02/1,227.11
  6. Step 6: Final answer
    x = 669.64

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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.