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Finding the Fourth Proportional to 602.11, 830.67 and 365.97

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Solution

The fourth proportional to 602.11, 830.67 and 365.97 is: 504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.11 : 830.67 = 365.97 : x
  2. Step 2: Convert to fraction form
    602.11/830.67 = 365.97/x
  3. Step 3: Cross multiply
    602.11x = 830.67 × 365.97
  4. Step 4: Simplify right side
    602.11x = 304,000.30
  5. Step 5: Solve for x
    x = 304,000.30/602.11
  6. Step 6: Final answer
    x = 504.89

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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.