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Finding the Fourth Proportional to 859.91, 1,287.77 and 776.71

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Solution

The fourth proportional to 859.91, 1,287.77 and 776.71 is: 1,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.91 : 1,287.77 = 776.71 : x
  2. Step 2: Convert to fraction form
    859.91/1,287.77 = 776.71/x
  3. Step 3: Cross multiply
    859.91x = 1,287.77 × 776.71
  4. Step 4: Simplify right side
    859.91x = 1,000,221.56
  5. Step 5: Solve for x
    x = 1,000,221.56/859.91
  6. Step 6: Final answer
    x = 1,163.18

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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.