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Finding the Fourth Proportional to 558.98, 771.42 and 310.31

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Solution

The fourth proportional to 558.98, 771.42 and 310.31 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.98 : 771.42 = 310.31 : x
  2. Step 2: Convert to fraction form
    558.98/771.42 = 310.31/x
  3. Step 3: Cross multiply
    558.98x = 771.42 × 310.31
  4. Step 4: Simplify right side
    558.98x = 239,383.88
  5. Step 5: Solve for x
    x = 239,383.88/558.98
  6. Step 6: Final answer
    x = 428.25

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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.