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Finding the Fourth Proportional to 1,384.53, 2,076.80 and 397.46

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Solution

The fourth proportional to 1,384.53, 2,076.80 and 397.46 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.53 : 2,076.80 = 397.46 : x
  2. Step 2: Convert to fraction form
    1,384.53/2,076.80 = 397.46/x
  3. Step 3: Cross multiply
    1,384.53x = 2,076.80 × 397.46
  4. Step 4: Simplify right side
    1,384.53x = 825,432.56
  5. Step 5: Solve for x
    x = 825,432.56/1,384.53
  6. Step 6: Final answer
    x = 596.18

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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.