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Finding the Fourth Proportional to 969.35, 1,337.49 and 633.33

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Solution

The fourth proportional to 969.35, 1,337.49 and 633.33 is: 873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,337.49 = 633.33 : x
  2. Step 2: Convert to fraction form
    969.35/1,337.49 = 633.33/x
  3. Step 3: Cross multiply
    969.35x = 1,337.49 × 633.33
  4. Step 4: Simplify right side
    969.35x = 847,072.54
  5. Step 5: Solve for x
    x = 847,072.54/969.35
  6. Step 6: Final answer
    x = 873.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.