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Finding the Fourth Proportional to 523.12, 787.60 and 379.84

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Solution

The fourth proportional to 523.12, 787.60 and 379.84 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 787.60 = 379.84 : x
  2. Step 2: Convert to fraction form
    523.12/787.60 = 379.84/x
  3. Step 3: Cross multiply
    523.12x = 787.60 × 379.84
  4. Step 4: Simplify right side
    523.12x = 299,161.98
  5. Step 5: Solve for x
    x = 299,161.98/523.12
  6. Step 6: Final answer
    x = 571.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.