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Finding the Fourth Proportional to 584.80, 806.96 and 322.84

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Solution

The fourth proportional to 584.80, 806.96 and 322.84 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 806.96 = 322.84 : x
  2. Step 2: Convert to fraction form
    584.80/806.96 = 322.84/x
  3. Step 3: Cross multiply
    584.80x = 806.96 × 322.84
  4. Step 4: Simplify right side
    584.80x = 260,518.97
  5. Step 5: Solve for x
    x = 260,518.97/584.80
  6. Step 6: Final answer
    x = 445.48

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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.