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Finding the Fourth Proportional to 806.25, 1,208.61 and 416.10

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Solution

The fourth proportional to 806.25, 1,208.61 and 416.10 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.25 : 1,208.61 = 416.10 : x
  2. Step 2: Convert to fraction form
    806.25/1,208.61 = 416.10/x
  3. Step 3: Cross multiply
    806.25x = 1,208.61 × 416.10
  4. Step 4: Simplify right side
    806.25x = 502,902.62
  5. Step 5: Solve for x
    x = 502,902.62/806.25
  6. Step 6: Final answer
    x = 623.76

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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.