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Finding the Fourth Proportional to 587.93, 811.22 and 447.80

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Solution

The fourth proportional to 587.93, 811.22 and 447.80 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.93 : 811.22 = 447.80 : x
  2. Step 2: Convert to fraction form
    587.93/811.22 = 447.80/x
  3. Step 3: Cross multiply
    587.93x = 811.22 × 447.80
  4. Step 4: Simplify right side
    587.93x = 363,258.02
  5. Step 5: Solve for x
    x = 363,258.02/587.93
  6. Step 6: Final answer
    x = 617.86

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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.