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Finding the Fourth Proportional to 859.86, 1,186.41 and 505.71

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Solution

The fourth proportional to 859.86, 1,186.41 and 505.71 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,186.41 = 505.71 : x
  2. Step 2: Convert to fraction form
    859.86/1,186.41 = 505.71/x
  3. Step 3: Cross multiply
    859.86x = 1,186.41 × 505.71
  4. Step 4: Simplify right side
    859.86x = 599,979.40
  5. Step 5: Solve for x
    x = 599,979.40/859.86
  6. Step 6: Final answer
    x = 697.76

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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.