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Finding the Fourth Proportional to 584.56, 806.79 and 398.13

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Solution

The fourth proportional to 584.56, 806.79 and 398.13 is: 549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.56 : 806.79 = 398.13 : x
  2. Step 2: Convert to fraction form
    584.56/806.79 = 398.13/x
  3. Step 3: Cross multiply
    584.56x = 806.79 × 398.13
  4. Step 4: Simplify right side
    584.56x = 321,207.30
  5. Step 5: Solve for x
    x = 321,207.30/584.56
  6. Step 6: Final answer
    x = 549.49

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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.