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Finding the Fourth Proportional to 1,163.42, 1,743.86 and 546.64

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Solution

The fourth proportional to 1,163.42, 1,743.86 and 546.64 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.42 : 1,743.86 = 546.64 : x
  2. Step 2: Convert to fraction form
    1,163.42/1,743.86 = 546.64/x
  3. Step 3: Cross multiply
    1,163.42x = 1,743.86 × 546.64
  4. Step 4: Simplify right side
    1,163.42x = 953,263.63
  5. Step 5: Solve for x
    x = 953,263.63/1,163.42
  6. Step 6: Final answer
    x = 819.36

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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.