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Finding the Fourth Proportional to 1,033.78, 1,550.49 and 384.34

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Solution

The fourth proportional to 1,033.78, 1,550.49 and 384.34 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.78 : 1,550.49 = 384.34 : x
  2. Step 2: Convert to fraction form
    1,033.78/1,550.49 = 384.34/x
  3. Step 3: Cross multiply
    1,033.78x = 1,550.49 × 384.34
  4. Step 4: Simplify right side
    1,033.78x = 595,915.33
  5. Step 5: Solve for x
    x = 595,915.33/1,033.78
  6. Step 6: Final answer
    x = 576.44

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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.