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Finding the Fourth Proportional to 969.79, 1,338.22 and 654.57

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Solution

The fourth proportional to 969.79, 1,338.22 and 654.57 is: 903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.79 : 1,338.22 = 654.57 : x
  2. Step 2: Convert to fraction form
    969.79/1,338.22 = 654.57/x
  3. Step 3: Cross multiply
    969.79x = 1,338.22 × 654.57
  4. Step 4: Simplify right side
    969.79x = 875,957.03
  5. Step 5: Solve for x
    x = 875,957.03/969.79
  6. Step 6: Final answer
    x = 903.25

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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.