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Finding the Fourth Proportional to 1,350.42, 1,859.85 and 1,163.84

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Solution

The fourth proportional to 1,350.42, 1,859.85 and 1,163.84 is: 1,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 1,859.85 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    1,350.42/1,859.85 = 1,163.84/x
  3. Step 3: Cross multiply
    1,350.42x = 1,859.85 × 1,163.84
  4. Step 4: Simplify right side
    1,350.42x = 2,164,567.82
  5. Step 5: Solve for x
    x = 2,164,567.82/1,350.42
  6. Step 6: Final answer
    x = 1,602.88

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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.