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Finding the Fourth Proportional to 806.38, 1,208.46 and 459.88

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Solution

The fourth proportional to 806.38, 1,208.46 and 459.88 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.38 : 1,208.46 = 459.88 : x
  2. Step 2: Convert to fraction form
    806.38/1,208.46 = 459.88/x
  3. Step 3: Cross multiply
    806.38x = 1,208.46 × 459.88
  4. Step 4: Simplify right side
    806.38x = 555,746.58
  5. Step 5: Solve for x
    x = 555,746.58/806.38
  6. Step 6: Final answer
    x = 689.19

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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.