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Finding the Fourth Proportional to 1,209.06, 1,666.17 and 859.14

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Solution

The fourth proportional to 1,209.06, 1,666.17 and 859.14 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.06 : 1,666.17 = 859.14 : x
  2. Step 2: Convert to fraction form
    1,209.06/1,666.17 = 859.14/x
  3. Step 3: Cross multiply
    1,209.06x = 1,666.17 × 859.14
  4. Step 4: Simplify right side
    1,209.06x = 1,431,473.29
  5. Step 5: Solve for x
    x = 1,431,473.29/1,209.06
  6. Step 6: Final answer
    x = 1,183.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.