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Finding the Fourth Proportional to 806.21, 1,208.96 and 459.70

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Solution

The fourth proportional to 806.21, 1,208.96 and 459.70 is: 689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.21 : 1,208.96 = 459.70 : x
  2. Step 2: Convert to fraction form
    806.21/1,208.96 = 459.70/x
  3. Step 3: Cross multiply
    806.21x = 1,208.96 × 459.70
  4. Step 4: Simplify right side
    806.21x = 555,753.59
  5. Step 5: Solve for x
    x = 555,753.59/806.21
  6. Step 6: Final answer
    x = 689.35

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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.