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Finding the Fourth Proportional to 601.01, 828.90 and 379.88

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Solution

The fourth proportional to 601.01, 828.90 and 379.88 is: 523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.01 : 828.90 = 379.88 : x
  2. Step 2: Convert to fraction form
    601.01/828.90 = 379.88/x
  3. Step 3: Cross multiply
    601.01x = 828.90 × 379.88
  4. Step 4: Simplify right side
    601.01x = 314,882.53
  5. Step 5: Solve for x
    x = 314,882.53/601.01
  6. Step 6: Final answer
    x = 523.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.