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Finding the Fourth Proportional to 969.76, 1,338.56 and 577.05

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Solution

The fourth proportional to 969.76, 1,338.56 and 577.05 is: 796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.76 : 1,338.56 = 577.05 : x
  2. Step 2: Convert to fraction form
    969.76/1,338.56 = 577.05/x
  3. Step 3: Cross multiply
    969.76x = 1,338.56 × 577.05
  4. Step 4: Simplify right side
    969.76x = 772,416.05
  5. Step 5: Solve for x
    x = 772,416.05/969.76
  6. Step 6: Final answer
    x = 796.50

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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.