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Finding the Fourth Proportional to 969.78, 1,338.58 and 577.08

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Solution

The fourth proportional to 969.78, 1,338.58 and 577.08 is: 796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.78 : 1,338.58 = 577.08 : x
  2. Step 2: Convert to fraction form
    969.78/1,338.58 = 577.08/x
  3. Step 3: Cross multiply
    969.78x = 1,338.58 × 577.08
  4. Step 4: Simplify right side
    969.78x = 772,467.75
  5. Step 5: Solve for x
    x = 772,467.75/969.78
  6. Step 6: Final answer
    x = 796.54

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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.