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Finding the Fourth Proportional to 588.15, 811.83 and 366.99

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Solution

The fourth proportional to 588.15, 811.83 and 366.99 is: 506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.15 : 811.83 = 366.99 : x
  2. Step 2: Convert to fraction form
    588.15/811.83 = 366.99/x
  3. Step 3: Cross multiply
    588.15x = 811.83 × 366.99
  4. Step 4: Simplify right side
    588.15x = 297,933.49
  5. Step 5: Solve for x
    x = 297,933.49/588.15
  6. Step 6: Final answer
    x = 506.56

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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.