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Finding the Fourth Proportional to 909.82, 1,358.11 and 842.12

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Solution

The fourth proportional to 909.82, 1,358.11 and 842.12 is: 1,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,358.11 = 842.12 : x
  2. Step 2: Convert to fraction form
    909.82/1,358.11 = 842.12/x
  3. Step 3: Cross multiply
    909.82x = 1,358.11 × 842.12
  4. Step 4: Simplify right side
    909.82x = 1,143,691.59
  5. Step 5: Solve for x
    x = 1,143,691.59/909.82
  6. Step 6: Final answer
    x = 1,257.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.