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Finding the Fourth Proportional to 969.97, 1,448.76 and 840.37

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Solution

The fourth proportional to 969.97, 1,448.76 and 840.37 is: 1,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.97 : 1,448.76 = 840.37 : x
  2. Step 2: Convert to fraction form
    969.97/1,448.76 = 840.37/x
  3. Step 3: Cross multiply
    969.97x = 1,448.76 × 840.37
  4. Step 4: Simplify right side
    969.97x = 1,217,487.20
  5. Step 5: Solve for x
    x = 1,217,487.20/969.97
  6. Step 6: Final answer
    x = 1,255.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.