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Finding the Fourth Proportional to 749.05, 1,122.80 and 261.83

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Solution

The fourth proportional to 749.05, 1,122.80 and 261.83 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.05 : 1,122.80 = 261.83 : x
  2. Step 2: Convert to fraction form
    749.05/1,122.80 = 261.83/x
  3. Step 3: Cross multiply
    749.05x = 1,122.80 × 261.83
  4. Step 4: Simplify right side
    749.05x = 293,984.22
  5. Step 5: Solve for x
    x = 293,984.22/749.05
  6. Step 6: Final answer
    x = 392.48

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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.