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Finding the Fourth Proportional to 587.82, 809.34 and 499.11

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Solution

The fourth proportional to 587.82, 809.34 and 499.11 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 809.34 = 499.11 : x
  2. Step 2: Convert to fraction form
    587.82/809.34 = 499.11/x
  3. Step 3: Cross multiply
    587.82x = 809.34 × 499.11
  4. Step 4: Simplify right side
    587.82x = 403,952.14
  5. Step 5: Solve for x
    x = 403,952.14/587.82
  6. Step 6: Final answer
    x = 687.21

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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.