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Finding the Fourth Proportional to 588.10, 811.65 and 367.15

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Solution

The fourth proportional to 588.10, 811.65 and 367.15 is: 506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.10 : 811.65 = 367.15 : x
  2. Step 2: Convert to fraction form
    588.10/811.65 = 367.15/x
  3. Step 3: Cross multiply
    588.10x = 811.65 × 367.15
  4. Step 4: Simplify right side
    588.10x = 297,997.30
  5. Step 5: Solve for x
    x = 297,997.30/588.10
  6. Step 6: Final answer
    x = 506.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.