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Finding the Fourth Proportional to 969.74, 1,338.54 and 571.38

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Solution

The fourth proportional to 969.74, 1,338.54 and 571.38 is: 788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.74 : 1,338.54 = 571.38 : x
  2. Step 2: Convert to fraction form
    969.74/1,338.54 = 571.38/x
  3. Step 3: Cross multiply
    969.74x = 1,338.54 × 571.38
  4. Step 4: Simplify right side
    969.74x = 764,814.99
  5. Step 5: Solve for x
    x = 764,814.99/969.74
  6. Step 6: Final answer
    x = 788.68

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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.