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Finding the Fourth Proportional to 859.20, 1,289.25 and 812.73

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Solution

The fourth proportional to 859.20, 1,289.25 and 812.73 is: 1,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,289.25 = 812.73 : x
  2. Step 2: Convert to fraction form
    859.20/1,289.25 = 812.73/x
  3. Step 3: Cross multiply
    859.20x = 1,289.25 × 812.73
  4. Step 4: Simplify right side
    859.20x = 1,047,812.15
  5. Step 5: Solve for x
    x = 1,047,812.15/859.20
  6. Step 6: Final answer
    x = 1,219.52

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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.