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Finding the Fourth Proportional to 588.74, 882.54 and 280.86

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Solution

The fourth proportional to 588.74, 882.54 and 280.86 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 882.54 = 280.86 : x
  2. Step 2: Convert to fraction form
    588.74/882.54 = 280.86/x
  3. Step 3: Cross multiply
    588.74x = 882.54 × 280.86
  4. Step 4: Simplify right side
    588.74x = 247,870.18
  5. Step 5: Solve for x
    x = 247,870.18/588.74
  6. Step 6: Final answer
    x = 421.02

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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.