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Finding the Fourth Proportional to 859.72, 1,186.86 and 672.80

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Solution

The fourth proportional to 859.72, 1,186.86 and 672.80 is: 928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.72 : 1,186.86 = 672.80 : x
  2. Step 2: Convert to fraction form
    859.72/1,186.86 = 672.80/x
  3. Step 3: Cross multiply
    859.72x = 1,186.86 × 672.80
  4. Step 4: Simplify right side
    859.72x = 798,519.41
  5. Step 5: Solve for x
    x = 798,519.41/859.72
  6. Step 6: Final answer
    x = 928.81

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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.