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Finding the Fourth Proportional to 806.13, 1,207.13 and 668.77

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Solution

The fourth proportional to 806.13, 1,207.13 and 668.77 is: 1,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.13 : 1,207.13 = 668.77 : x
  2. Step 2: Convert to fraction form
    806.13/1,207.13 = 668.77/x
  3. Step 3: Cross multiply
    806.13x = 1,207.13 × 668.77
  4. Step 4: Simplify right side
    806.13x = 807,285.97
  5. Step 5: Solve for x
    x = 807,285.97/806.13
  6. Step 6: Final answer
    x = 1,001.43

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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.