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Finding the Fourth Proportional to 600.80, 829.08 and 379.88

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Solution

The fourth proportional to 600.80, 829.08 and 379.88 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 829.08 = 379.88 : x
  2. Step 2: Convert to fraction form
    600.80/829.08 = 379.88/x
  3. Step 3: Cross multiply
    600.80x = 829.08 × 379.88
  4. Step 4: Simplify right side
    600.80x = 314,950.91
  5. Step 5: Solve for x
    x = 314,950.91/600.80
  6. Step 6: Final answer
    x = 524.22

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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.