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Finding the Fourth Proportional to 1,311.31, 1,967.05 and 337.39

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Solution

The fourth proportional to 1,311.31, 1,967.05 and 337.39 is: 506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.31 : 1,967.05 = 337.39 : x
  2. Step 2: Convert to fraction form
    1,311.31/1,967.05 = 337.39/x
  3. Step 3: Cross multiply
    1,311.31x = 1,967.05 × 337.39
  4. Step 4: Simplify right side
    1,311.31x = 663,663.00
  5. Step 5: Solve for x
    x = 663,663.00/1,311.31
  6. Step 6: Final answer
    x = 506.11

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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.