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Finding the Fourth Proportional to 588.21, 882.78 and 344.94

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Solution

The fourth proportional to 588.21, 882.78 and 344.94 is: 517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 882.78 = 344.94 : x
  2. Step 2: Convert to fraction form
    588.21/882.78 = 344.94/x
  3. Step 3: Cross multiply
    588.21x = 882.78 × 344.94
  4. Step 4: Simplify right side
    588.21x = 304,506.13
  5. Step 5: Solve for x
    x = 304,506.13/588.21
  6. Step 6: Final answer
    x = 517.68

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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.