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Finding the Fourth Proportional to 602.06, 830.85 and 326.06

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Solution

The fourth proportional to 602.06, 830.85 and 326.06 is: 449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 830.85 = 326.06 : x
  2. Step 2: Convert to fraction form
    602.06/830.85 = 326.06/x
  3. Step 3: Cross multiply
    602.06x = 830.85 × 326.06
  4. Step 4: Simplify right side
    602.06x = 270,908.21
  5. Step 5: Solve for x
    x = 270,908.21/602.06
  6. Step 6: Final answer
    x = 449.97

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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.