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Finding the Fourth Proportional to 586, 878.76 and 261.58

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Solution

The fourth proportional to 586, 878.76 and 261.58 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 878.76 = 261.58 : x
  2. Step 2: Convert to fraction form
    586/878.76 = 261.58/x
  3. Step 3: Cross multiply
    586x = 878.76 × 261.58
  4. Step 4: Simplify right side
    586x = 229,866.04
  5. Step 5: Solve for x
    x = 229,866.04/586
  6. Step 6: Final answer
    x = 392.26

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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.