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Finding the Fourth Proportional to 1,115.31, 1,672.32 and 384.69

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Solution

The fourth proportional to 1,115.31, 1,672.32 and 384.69 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.31 : 1,672.32 = 384.69 : x
  2. Step 2: Convert to fraction form
    1,115.31/1,672.32 = 384.69/x
  3. Step 3: Cross multiply
    1,115.31x = 1,672.32 × 384.69
  4. Step 4: Simplify right side
    1,115.31x = 643,324.78
  5. Step 5: Solve for x
    x = 643,324.78/1,115.31
  6. Step 6: Final answer
    x = 576.81

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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.