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Finding the Fourth Proportional to 587.29, 809.91 and 366.09

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Solution

The fourth proportional to 587.29, 809.91 and 366.09 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.29 : 809.91 = 366.09 : x
  2. Step 2: Convert to fraction form
    587.29/809.91 = 366.09/x
  3. Step 3: Cross multiply
    587.29x = 809.91 × 366.09
  4. Step 4: Simplify right side
    587.29x = 296,499.95
  5. Step 5: Solve for x
    x = 296,499.95/587.29
  6. Step 6: Final answer
    x = 504.86

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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.