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Finding the Fourth Proportional to 893.20, 1,341.86 and 633.85

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Solution

The fourth proportional to 893.20, 1,341.86 and 633.85 is: 952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.20 : 1,341.86 = 633.85 : x
  2. Step 2: Convert to fraction form
    893.20/1,341.86 = 633.85/x
  3. Step 3: Cross multiply
    893.20x = 1,341.86 × 633.85
  4. Step 4: Simplify right side
    893.20x = 850,537.96
  5. Step 5: Solve for x
    x = 850,537.96/893.20
  6. Step 6: Final answer
    x = 952.24

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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.