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Finding the Fourth Proportional to 806.19, 1,209.69 and 611.12

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Solution

The fourth proportional to 806.19, 1,209.69 and 611.12 is: 916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.19 : 1,209.69 = 611.12 : x
  2. Step 2: Convert to fraction form
    806.19/1,209.69 = 611.12/x
  3. Step 3: Cross multiply
    806.19x = 1,209.69 × 611.12
  4. Step 4: Simplify right side
    806.19x = 739,265.75
  5. Step 5: Solve for x
    x = 739,265.75/806.19
  6. Step 6: Final answer
    x = 916.99

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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.