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Finding the Fourth Proportional to 587.70, 811.17 and 422.28

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Solution

The fourth proportional to 587.70, 811.17 and 422.28 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 811.17 = 422.28 : x
  2. Step 2: Convert to fraction form
    587.70/811.17 = 422.28/x
  3. Step 3: Cross multiply
    587.70x = 811.17 × 422.28
  4. Step 4: Simplify right side
    587.70x = 342,540.87
  5. Step 5: Solve for x
    x = 342,540.87/587.70
  6. Step 6: Final answer
    x = 582.85

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1.5x scale

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.