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Finding the Fourth Proportional to 559.05, 771.39 and 310.29

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Solution

The fourth proportional to 559.05, 771.39 and 310.29 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 771.39 = 310.29 : x
  2. Step 2: Convert to fraction form
    559.05/771.39 = 310.29/x
  3. Step 3: Cross multiply
    559.05x = 771.39 × 310.29
  4. Step 4: Simplify right side
    559.05x = 239,354.60
  5. Step 5: Solve for x
    x = 239,354.60/559.05
  6. Step 6: Final answer
    x = 428.15

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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.