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Finding the Fourth Proportional to 806.74, 1,207.67 and 459.45

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Solution

The fourth proportional to 806.74, 1,207.67 and 459.45 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.74 : 1,207.67 = 459.45 : x
  2. Step 2: Convert to fraction form
    806.74/1,207.67 = 459.45/x
  3. Step 3: Cross multiply
    806.74x = 1,207.67 × 459.45
  4. Step 4: Simplify right side
    806.74x = 554,863.98
  5. Step 5: Solve for x
    x = 554,863.98/806.74
  6. Step 6: Final answer
    x = 687.79

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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.