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Finding the Fourth Proportional to 1,219.11, 1,825.95 and 567.87

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Solution

The fourth proportional to 1,219.11, 1,825.95 and 567.87 is: 850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.11 : 1,825.95 = 567.87 : x
  2. Step 2: Convert to fraction form
    1,219.11/1,825.95 = 567.87/x
  3. Step 3: Cross multiply
    1,219.11x = 1,825.95 × 567.87
  4. Step 4: Simplify right side
    1,219.11x = 1,036,902.23
  5. Step 5: Solve for x
    x = 1,036,902.23/1,219.11
  6. Step 6: Final answer
    x = 850.54

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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.