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Finding the Fourth Proportional to 558.97, 771.36 and 310.30

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Solution

The fourth proportional to 558.97, 771.36 and 310.30 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.97 : 771.36 = 310.30 : x
  2. Step 2: Convert to fraction form
    558.97/771.36 = 310.30/x
  3. Step 3: Cross multiply
    558.97x = 771.36 × 310.30
  4. Step 4: Simplify right side
    558.97x = 239,353.01
  5. Step 5: Solve for x
    x = 239,353.01/558.97
  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.