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Finding the Fourth Proportional to 1,227.46, 1,840.59 and 447.34

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Solution

The fourth proportional to 1,227.46, 1,840.59 and 447.34 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.46 : 1,840.59 = 447.34 : x
  2. Step 2: Convert to fraction form
    1,227.46/1,840.59 = 447.34/x
  3. Step 3: Cross multiply
    1,227.46x = 1,840.59 × 447.34
  4. Step 4: Simplify right side
    1,227.46x = 823,364.93
  5. Step 5: Solve for x
    x = 823,364.93/1,227.46
  6. Step 6: Final answer
    x = 670.79

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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.