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Finding the Fourth Proportional to 584.42, 806.76 and 398.12

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Solution

The fourth proportional to 584.42, 806.76 and 398.12 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.42 : 806.76 = 398.12 : x
  2. Step 2: Convert to fraction form
    584.42/806.76 = 398.12/x
  3. Step 3: Cross multiply
    584.42x = 806.76 × 398.12
  4. Step 4: Simplify right side
    584.42x = 321,183.26
  5. Step 5: Solve for x
    x = 321,183.26/584.42
  6. Step 6: Final answer
    x = 549.58

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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.