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Finding the Fourth Proportional to 587.87, 811.22 and 322.27

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Solution

The fourth proportional to 587.87, 811.22 and 322.27 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.87 : 811.22 = 322.27 : x
  2. Step 2: Convert to fraction form
    587.87/811.22 = 322.27/x
  3. Step 3: Cross multiply
    587.87x = 811.22 × 322.27
  4. Step 4: Simplify right side
    587.87x = 261,435.51
  5. Step 5: Solve for x
    x = 261,435.51/587.87
  6. Step 6: Final answer
    x = 444.71

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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.