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Finding the Fourth Proportional to 588.09, 811.50 and 447.86

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Solution

The fourth proportional to 588.09, 811.50 and 447.86 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 811.50 = 447.86 : x
  2. Step 2: Convert to fraction form
    588.09/811.50 = 447.86/x
  3. Step 3: Cross multiply
    588.09x = 811.50 × 447.86
  4. Step 4: Simplify right side
    588.09x = 363,432.65
  5. Step 5: Solve for x
    x = 363,432.65/588.09
  6. Step 6: Final answer
    x = 617.99

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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.