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Finding the Fourth Proportional to 783.38, 1,174.82 and 235.39

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Solution

The fourth proportional to 783.38, 1,174.82 and 235.39 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.38 : 1,174.82 = 235.39 : x
  2. Step 2: Convert to fraction form
    783.38/1,174.82 = 235.39/x
  3. Step 3: Cross multiply
    783.38x = 1,174.82 × 235.39
  4. Step 4: Simplify right side
    783.38x = 276,540.88
  5. Step 5: Solve for x
    x = 276,540.88/783.38
  6. Step 6: Final answer
    x = 353.01

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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.