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Finding the Fourth Proportional to 749.24, 1,121.56 and 685.46

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Solution

The fourth proportional to 749.24, 1,121.56 and 685.46 is: 1,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.24 : 1,121.56 = 685.46 : x
  2. Step 2: Convert to fraction form
    749.24/1,121.56 = 685.46/x
  3. Step 3: Cross multiply
    749.24x = 1,121.56 × 685.46
  4. Step 4: Simplify right side
    749.24x = 768,784.52
  5. Step 5: Solve for x
    x = 768,784.52/749.24
  6. Step 6: Final answer
    x = 1,026.09

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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.