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Finding the Fourth Proportional to 558.90, 771.33 and 310.27

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Solution

The fourth proportional to 558.90, 771.33 and 310.27 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.90 : 771.33 = 310.27 : x
  2. Step 2: Convert to fraction form
    558.90/771.33 = 310.27/x
  3. Step 3: Cross multiply
    558.90x = 771.33 × 310.27
  4. Step 4: Simplify right side
    558.90x = 239,320.56
  5. Step 5: Solve for x
    x = 239,320.56/558.90
  6. Step 6: Final answer
    x = 428.20

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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.