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Finding the Fourth Proportional to 806.11, 1,209.17 and 440.71

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Solution

The fourth proportional to 806.11, 1,209.17 and 440.71 is: 661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.11 : 1,209.17 = 440.71 : x
  2. Step 2: Convert to fraction form
    806.11/1,209.17 = 440.71/x
  3. Step 3: Cross multiply
    806.11x = 1,209.17 × 440.71
  4. Step 4: Simplify right side
    806.11x = 532,893.31
  5. Step 5: Solve for x
    x = 532,893.31/806.11
  6. Step 6: Final answer
    x = 661.07

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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.