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Finding the Fourth Proportional to 559.22, 837.51 and 311.81

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Solution

The fourth proportional to 559.22, 837.51 and 311.81 is: 466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.22 : 837.51 = 311.81 : x
  2. Step 2: Convert to fraction form
    559.22/837.51 = 311.81/x
  3. Step 3: Cross multiply
    559.22x = 837.51 × 311.81
  4. Step 4: Simplify right side
    559.22x = 261,144.53
  5. Step 5: Solve for x
    x = 261,144.53/559.22
  6. Step 6: Final answer
    x = 466.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.