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Finding the Fourth Proportional to 584.43, 806.17 and 351.51

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Solution

The fourth proportional to 584.43, 806.17 and 351.51 is: 484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 806.17 = 351.51 : x
  2. Step 2: Convert to fraction form
    584.43/806.17 = 351.51/x
  3. Step 3: Cross multiply
    584.43x = 806.17 × 351.51
  4. Step 4: Simplify right side
    584.43x = 283,376.82
  5. Step 5: Solve for x
    x = 283,376.82/584.43
  6. Step 6: Final answer
    x = 484.88

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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.