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Finding the Fourth Proportional to 969.77, 1,338.73 and 634.23

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Solution

The fourth proportional to 969.77, 1,338.73 and 634.23 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.77 : 1,338.73 = 634.23 : x
  2. Step 2: Convert to fraction form
    969.77/1,338.73 = 634.23/x
  3. Step 3: Cross multiply
    969.77x = 1,338.73 × 634.23
  4. Step 4: Simplify right side
    969.77x = 849,061.14
  5. Step 5: Solve for x
    x = 849,061.14/969.77
  6. Step 6: Final answer
    x = 875.53

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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.