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Finding the Fourth Proportional to 969.70, 1,338.24 and 591.52

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Solution

The fourth proportional to 969.70, 1,338.24 and 591.52 is: 816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.70 : 1,338.24 = 591.52 : x
  2. Step 2: Convert to fraction form
    969.70/1,338.24 = 591.52/x
  3. Step 3: Cross multiply
    969.70x = 1,338.24 × 591.52
  4. Step 4: Simplify right side
    969.70x = 791,589.03
  5. Step 5: Solve for x
    x = 791,589.03/969.70
  6. Step 6: Final answer
    x = 816.33

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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.