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Finding the Fourth Proportional to 585.78, 878.18 and 256.47

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Solution

The fourth proportional to 585.78, 878.18 and 256.47 is: 384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 878.18 = 256.47 : x
  2. Step 2: Convert to fraction form
    585.78/878.18 = 256.47/x
  3. Step 3: Cross multiply
    585.78x = 878.18 × 256.47
  4. Step 4: Simplify right side
    585.78x = 225,225.54
  5. Step 5: Solve for x
    x = 225,225.54/585.78
  6. Step 6: Final answer
    x = 384.49

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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.