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Finding the Fourth Proportional to 806.18, 1,208.91 and 416.40

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Solution

The fourth proportional to 806.18, 1,208.91 and 416.40 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.18 : 1,208.91 = 416.40 : x
  2. Step 2: Convert to fraction form
    806.18/1,208.91 = 416.40/x
  3. Step 3: Cross multiply
    806.18x = 1,208.91 × 416.40
  4. Step 4: Simplify right side
    806.18x = 503,391.69
  5. Step 5: Solve for x
    x = 503,391.69/806.18
  6. Step 6: Final answer
    x = 624.42

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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.