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Finding the Fourth Proportional to 1,523.85, 2,285.78 and 550.03

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Solution

The fourth proportional to 1,523.85, 2,285.78 and 550.03 is: 825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.85 : 2,285.78 = 550.03 : x
  2. Step 2: Convert to fraction form
    1,523.85/2,285.78 = 550.03/x
  3. Step 3: Cross multiply
    1,523.85x = 2,285.78 × 550.03
  4. Step 4: Simplify right side
    1,523.85x = 1,257,247.57
  5. Step 5: Solve for x
    x = 1,257,247.57/1,523.85
  6. Step 6: Final answer
    x = 825.05

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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.