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Finding the Fourth Proportional to 1,207.41, 1,808.97 and 841.48

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Solution

The fourth proportional to 1,207.41, 1,808.97 and 841.48 is: 1,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.41 : 1,808.97 = 841.48 : x
  2. Step 2: Convert to fraction form
    1,207.41/1,808.97 = 841.48/x
  3. Step 3: Cross multiply
    1,207.41x = 1,808.97 × 841.48
  4. Step 4: Simplify right side
    1,207.41x = 1,522,212.08
  5. Step 5: Solve for x
    x = 1,522,212.08/1,207.41
  6. Step 6: Final answer
    x = 1,260.73

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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.