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Finding the Fourth Proportional to 585.82, 878.43 and 256.66

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Solution

The fourth proportional to 585.82, 878.43 and 256.66 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 878.43 = 256.66 : x
  2. Step 2: Convert to fraction form
    585.82/878.43 = 256.66/x
  3. Step 3: Cross multiply
    585.82x = 878.43 × 256.66
  4. Step 4: Simplify right side
    585.82x = 225,457.84
  5. Step 5: Solve for x
    x = 225,457.84/585.82
  6. Step 6: Final answer
    x = 384.86

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Why These Related Problems?

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