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Finding the Fourth Proportional to 1,384.03, 2,076.05 and 396.96

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Solution

The fourth proportional to 1,384.03, 2,076.05 and 396.96 is: 595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.03 : 2,076.05 = 396.96 : x
  2. Step 2: Convert to fraction form
    1,384.03/2,076.05 = 396.96/x
  3. Step 3: Cross multiply
    1,384.03x = 2,076.05 × 396.96
  4. Step 4: Simplify right side
    1,384.03x = 824,099.78
  5. Step 5: Solve for x
    x = 824,099.78/1,384.03
  6. Step 6: Final answer
    x = 595.44

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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.