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Finding the Fourth Proportional to 585.06, 806.31 and 398.22

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Solution

The fourth proportional to 585.06, 806.31 and 398.22 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 806.31 = 398.22 : x
  2. Step 2: Convert to fraction form
    585.06/806.31 = 398.22/x
  3. Step 3: Cross multiply
    585.06x = 806.31 × 398.22
  4. Step 4: Simplify right side
    585.06x = 321,088.77
  5. Step 5: Solve for x
    x = 321,088.77/585.06
  6. Step 6: Final answer
    x = 548.81

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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.