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Finding the Fourth Proportional to 695.41, 1,042.97 and 201.82

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Solution

The fourth proportional to 695.41, 1,042.97 and 201.82 is: 302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.41 : 1,042.97 = 201.82 : x
  2. Step 2: Convert to fraction form
    695.41/1,042.97 = 201.82/x
  3. Step 3: Cross multiply
    695.41x = 1,042.97 × 201.82
  4. Step 4: Simplify right side
    695.41x = 210,492.21
  5. Step 5: Solve for x
    x = 210,492.21/695.41
  6. Step 6: Final answer
    x = 302.69

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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.