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Finding the Fourth Proportional to 585.82, 808.40 and 323.78

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Solution

The fourth proportional to 585.82, 808.40 and 323.78 is: 446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 808.40 = 323.78 : x
  2. Step 2: Convert to fraction form
    585.82/808.40 = 323.78/x
  3. Step 3: Cross multiply
    585.82x = 808.40 × 323.78
  4. Step 4: Simplify right side
    585.82x = 261,743.75
  5. Step 5: Solve for x
    x = 261,743.75/585.82
  6. Step 6: Final answer
    x = 446.80

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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.