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Finding the Fourth Proportional to 806.16, 1,208.42 and 312.43

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Solution

The fourth proportional to 806.16, 1,208.42 and 312.43 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,208.42 = 312.43 : x
  2. Step 2: Convert to fraction form
    806.16/1,208.42 = 312.43/x
  3. Step 3: Cross multiply
    806.16x = 1,208.42 × 312.43
  4. Step 4: Simplify right side
    806.16x = 377,545.10
  5. Step 5: Solve for x
    x = 377,545.10/806.16
  6. Step 6: Final answer
    x = 468.33

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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.