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Finding the Fourth Proportional to 969, 1,336.62 and 575.76

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Solution

The fourth proportional to 969, 1,336.62 and 575.76 is: 794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,336.62 = 575.76 : x
  2. Step 2: Convert to fraction form
    969/1,336.62 = 575.76/x
  3. Step 3: Cross multiply
    969x = 1,336.62 × 575.76
  4. Step 4: Simplify right side
    969x = 769,572.33
  5. Step 5: Solve for x
    x = 769,572.33/969
  6. Step 6: Final answer
    x = 794.19

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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.