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Finding the Fourth Proportional to 969.72, 1,338.57 and 577.14

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Solution

The fourth proportional to 969.72, 1,338.57 and 577.14 is: 796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,338.57 = 577.14 : x
  2. Step 2: Convert to fraction form
    969.72/1,338.57 = 577.14/x
  3. Step 3: Cross multiply
    969.72x = 1,338.57 × 577.14
  4. Step 4: Simplify right side
    969.72x = 772,542.29
  5. Step 5: Solve for x
    x = 772,542.29/969.72
  6. Step 6: Final answer
    x = 796.67

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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.