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Finding the Fourth Proportional to 599.04, 826.36 and 377.84

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Solution

The fourth proportional to 599.04, 826.36 and 377.84 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 826.36 = 377.84 : x
  2. Step 2: Convert to fraction form
    599.04/826.36 = 377.84/x
  3. Step 3: Cross multiply
    599.04x = 826.36 × 377.84
  4. Step 4: Simplify right side
    599.04x = 312,231.86
  5. Step 5: Solve for x
    x = 312,231.86/599.04
  6. Step 6: Final answer
    x = 521.22

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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.