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Finding the Fourth Proportional to 969.62, 1,454.27 and 806.14

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Solution

The fourth proportional to 969.62, 1,454.27 and 806.14 is: 1,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.62 : 1,454.27 = 806.14 : x
  2. Step 2: Convert to fraction form
    969.62/1,454.27 = 806.14/x
  3. Step 3: Cross multiply
    969.62x = 1,454.27 × 806.14
  4. Step 4: Simplify right side
    969.62x = 1,172,345.22
  5. Step 5: Solve for x
    x = 1,172,345.22/969.62
  6. Step 6: Final answer
    x = 1,209.08

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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.