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Finding the Fourth Proportional to 586.14, 878.67 and 256.74

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Solution

The fourth proportional to 586.14, 878.67 and 256.74 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.14 : 878.67 = 256.74 : x
  2. Step 2: Convert to fraction form
    586.14/878.67 = 256.74/x
  3. Step 3: Cross multiply
    586.14x = 878.67 × 256.74
  4. Step 4: Simplify right side
    586.14x = 225,589.74
  5. Step 5: Solve for x
    x = 225,589.74/586.14
  6. Step 6: Final answer
    x = 384.87

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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.