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Finding the Fourth Proportional to 585.98, 878.78 and 261.58

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Solution

The fourth proportional to 585.98, 878.78 and 261.58 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 878.78 = 261.58 : x
  2. Step 2: Convert to fraction form
    585.98/878.78 = 261.58/x
  3. Step 3: Cross multiply
    585.98x = 878.78 × 261.58
  4. Step 4: Simplify right side
    585.98x = 229,871.27
  5. Step 5: Solve for x
    x = 229,871.27/585.98
  6. Step 6: Final answer
    x = 392.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.