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Finding the Fourth Proportional to 866.03, 1,194.77 and 487.83

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Solution

The fourth proportional to 866.03, 1,194.77 and 487.83 is: 673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.03 : 1,194.77 = 487.83 : x
  2. Step 2: Convert to fraction form
    866.03/1,194.77 = 487.83/x
  3. Step 3: Cross multiply
    866.03x = 1,194.77 × 487.83
  4. Step 4: Simplify right side
    866.03x = 582,836.24
  5. Step 5: Solve for x
    x = 582,836.24/866.03
  6. Step 6: Final answer
    x = 673.00

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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.