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Finding the Fourth Proportional to 586.72, 879.82 and 196.62

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Solution

The fourth proportional to 586.72, 879.82 and 196.62 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 879.82 = 196.62 : x
  2. Step 2: Convert to fraction form
    586.72/879.82 = 196.62/x
  3. Step 3: Cross multiply
    586.72x = 879.82 × 196.62
  4. Step 4: Simplify right side
    586.72x = 172,990.21
  5. Step 5: Solve for x
    x = 172,990.21/586.72
  6. Step 6: Final answer
    x = 294.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.