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Finding the Fourth Proportional to 1,567.42, 2,163.05 and 868.80

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Solution

The fourth proportional to 1,567.42, 2,163.05 and 868.80 is: 1,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.42 : 2,163.05 = 868.80 : x
  2. Step 2: Convert to fraction form
    1,567.42/2,163.05 = 868.80/x
  3. Step 3: Cross multiply
    1,567.42x = 2,163.05 × 868.80
  4. Step 4: Simplify right side
    1,567.42x = 1,879,257.84
  5. Step 5: Solve for x
    x = 1,879,257.84/1,567.42
  6. Step 6: Final answer
    x = 1,198.95

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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.