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Finding the Fourth Proportional to 1,550.40, 2,325.84 and 820.56

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Solution

The fourth proportional to 1,550.40, 2,325.84 and 820.56 is: 1,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.40 : 2,325.84 = 820.56 : x
  2. Step 2: Convert to fraction form
    1,550.40/2,325.84 = 820.56/x
  3. Step 3: Cross multiply
    1,550.40x = 2,325.84 × 820.56
  4. Step 4: Simplify right side
    1,550.40x = 1,908,491.27
  5. Step 5: Solve for x
    x = 1,908,491.27/1,550.40
  6. Step 6: Final answer
    x = 1,230.97

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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.