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Finding the Fourth Proportional to 859.56, 1,183.62 and 728.28

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Solution

The fourth proportional to 859.56, 1,183.62 and 728.28 is: 1,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.56 : 1,183.62 = 728.28 : x
  2. Step 2: Convert to fraction form
    859.56/1,183.62 = 728.28/x
  3. Step 3: Cross multiply
    859.56x = 1,183.62 × 728.28
  4. Step 4: Simplify right side
    859.56x = 862,006.77
  5. Step 5: Solve for x
    x = 862,006.77/859.56
  6. Step 6: Final answer
    x = 1,002.85

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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.