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Finding the Fourth Proportional to 1,191.62, 1,785.79 and 859.91

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Solution

The fourth proportional to 1,191.62, 1,785.79 and 859.91 is: 1,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.62 : 1,785.79 = 859.91 : x
  2. Step 2: Convert to fraction form
    1,191.62/1,785.79 = 859.91/x
  3. Step 3: Cross multiply
    1,191.62x = 1,785.79 × 859.91
  4. Step 4: Simplify right side
    1,191.62x = 1,535,621.06
  5. Step 5: Solve for x
    x = 1,535,621.06/1,191.62
  6. Step 6: Final answer
    x = 1,288.68

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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.