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Finding the Fourth Proportional to 921.24, 1,273.14 and 755.20

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Solution

The fourth proportional to 921.24, 1,273.14 and 755.20 is: 1,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,273.14 = 755.20 : x
  2. Step 2: Convert to fraction form
    921.24/1,273.14 = 755.20/x
  3. Step 3: Cross multiply
    921.24x = 1,273.14 × 755.20
  4. Step 4: Simplify right side
    921.24x = 961,475.33
  5. Step 5: Solve for x
    x = 961,475.33/921.24
  6. Step 6: Final answer
    x = 1,043.68

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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.