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Finding the Fourth Proportional to 1,066.82, 1,600.27 and 408.61

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Solution

The fourth proportional to 1,066.82, 1,600.27 and 408.61 is: 612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.82 : 1,600.27 = 408.61 : x
  2. Step 2: Convert to fraction form
    1,066.82/1,600.27 = 408.61/x
  3. Step 3: Cross multiply
    1,066.82x = 1,600.27 × 408.61
  4. Step 4: Simplify right side
    1,066.82x = 653,889.60
  5. Step 5: Solve for x
    x = 653,889.60/1,066.82
  6. Step 6: Final answer
    x = 612.93

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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.