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Finding the Fourth Proportional to 969.21, 1,337.04 and 575.96

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Solution

The fourth proportional to 969.21, 1,337.04 and 575.96 is: 794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.21 : 1,337.04 = 575.96 : x
  2. Step 2: Convert to fraction form
    969.21/1,337.04 = 575.96/x
  3. Step 3: Cross multiply
    969.21x = 1,337.04 × 575.96
  4. Step 4: Simplify right side
    969.21x = 770,074.87
  5. Step 5: Solve for x
    x = 770,074.87/969.21
  6. Step 6: Final answer
    x = 794.54

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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.