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Finding the Fourth Proportional to 588.94, 882.96 and 280.66

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Solution

The fourth proportional to 588.94, 882.96 and 280.66 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 882.96 = 280.66 : x
  2. Step 2: Convert to fraction form
    588.94/882.96 = 280.66/x
  3. Step 3: Cross multiply
    588.94x = 882.96 × 280.66
  4. Step 4: Simplify right side
    588.94x = 247,811.55
  5. Step 5: Solve for x
    x = 247,811.55/588.94
  6. Step 6: Final answer
    x = 420.78

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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.