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Finding the Fourth Proportional to 1,568.02, 2,163.81 and 859.85

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Solution

The fourth proportional to 1,568.02, 2,163.81 and 859.85 is: 1,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.02 : 2,163.81 = 859.85 : x
  2. Step 2: Convert to fraction form
    1,568.02/2,163.81 = 859.85/x
  3. Step 3: Cross multiply
    1,568.02x = 2,163.81 × 859.85
  4. Step 4: Simplify right side
    1,568.02x = 1,860,552.55
  5. Step 5: Solve for x
    x = 1,860,552.55/1,568.02
  6. Step 6: Final answer
    x = 1,186.56

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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.