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Finding the Fourth Proportional to 391.56, 586.72 and 282.88

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Solution

The fourth proportional to 391.56, 586.72 and 282.88 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.56 : 586.72 = 282.88 : x
  2. Step 2: Convert to fraction form
    391.56/586.72 = 282.88/x
  3. Step 3: Cross multiply
    391.56x = 586.72 × 282.88
  4. Step 4: Simplify right side
    391.56x = 165,971.35
  5. Step 5: Solve for x
    x = 165,971.35/391.56
  6. Step 6: Final answer
    x = 423.87

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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.