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Finding the Fourth Proportional to 1,324.25, 1,984.09 and 933.55

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Solution

The fourth proportional to 1,324.25, 1,984.09 and 933.55 is: 1,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.25 : 1,984.09 = 933.55 : x
  2. Step 2: Convert to fraction form
    1,324.25/1,984.09 = 933.55/x
  3. Step 3: Cross multiply
    1,324.25x = 1,984.09 × 933.55
  4. Step 4: Simplify right side
    1,324.25x = 1,852,232.63
  5. Step 5: Solve for x
    x = 1,852,232.63/1,324.25
  6. Step 6: Final answer
    x = 1,398.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.