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Finding the Fourth Proportional to 1,092.42, 1,636.63 and 571.88

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Solution

The fourth proportional to 1,092.42, 1,636.63 and 571.88 is: 856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,636.63 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,636.63 = 571.88/x
  3. Step 3: Cross multiply
    1,092.42x = 1,636.63 × 571.88
  4. Step 4: Simplify right side
    1,092.42x = 935,958.63
  5. Step 5: Solve for x
    x = 935,958.63/1,092.42
  6. Step 6: Final answer
    x = 856.78

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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.