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Finding the Fourth Proportional to 1,343.64, 1,850 and 1,220.62

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Solution

The fourth proportional to 1,343.64, 1,850 and 1,220.62 is: 1,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.64 : 1,850 = 1,220.62 : x
  2. Step 2: Convert to fraction form
    1,343.64/1,850 = 1,220.62/x
  3. Step 3: Cross multiply
    1,343.64x = 1,850 × 1,220.62
  4. Step 4: Simplify right side
    1,343.64x = 2,258,147
  5. Step 5: Solve for x
    x = 2,258,147/1,343.64
  6. Step 6: Final answer
    x = 1,680.62

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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.