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Finding the Fourth Proportional to 587.73, 811.07 and 322.18

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Solution

The fourth proportional to 587.73, 811.07 and 322.18 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.73 : 811.07 = 322.18 : x
  2. Step 2: Convert to fraction form
    587.73/811.07 = 322.18/x
  3. Step 3: Cross multiply
    587.73x = 811.07 × 322.18
  4. Step 4: Simplify right side
    587.73x = 261,304.87
  5. Step 5: Solve for x
    x = 261,304.87/587.73
  6. Step 6: Final answer
    x = 444.60

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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.