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Finding the Fourth Proportional to 806.52, 1,208.18 and 480.44

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Solution

The fourth proportional to 806.52, 1,208.18 and 480.44 is: 719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.52 : 1,208.18 = 480.44 : x
  2. Step 2: Convert to fraction form
    806.52/1,208.18 = 480.44/x
  3. Step 3: Cross multiply
    806.52x = 1,208.18 × 480.44
  4. Step 4: Simplify right side
    806.52x = 580,458.00
  5. Step 5: Solve for x
    x = 580,458.00/806.52
  6. Step 6: Final answer
    x = 719.71

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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.