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Finding the Fourth Proportional to 969.50, 1,338.48 and 638.50

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Solution

The fourth proportional to 969.50, 1,338.48 and 638.50 is: 881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.50 : 1,338.48 = 638.50 : x
  2. Step 2: Convert to fraction form
    969.50/1,338.48 = 638.50/x
  3. Step 3: Cross multiply
    969.50x = 1,338.48 × 638.50
  4. Step 4: Simplify right side
    969.50x = 854,619.48
  5. Step 5: Solve for x
    x = 854,619.48/969.50
  6. Step 6: Final answer
    x = 881.51

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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.