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Finding the Fourth Proportional to 584.18, 806.17 and 322.19

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Solution

The fourth proportional to 584.18, 806.17 and 322.19 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.18 : 806.17 = 322.19 : x
  2. Step 2: Convert to fraction form
    584.18/806.17 = 322.19/x
  3. Step 3: Cross multiply
    584.18x = 806.17 × 322.19
  4. Step 4: Simplify right side
    584.18x = 259,739.91
  5. Step 5: Solve for x
    x = 259,739.91/584.18
  6. Step 6: Final answer
    x = 444.63

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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.