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Finding the Fourth Proportional to 558.94, 771.34 and 310.28

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Solution

The fourth proportional to 558.94, 771.34 and 310.28 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.94 : 771.34 = 310.28 : x
  2. Step 2: Convert to fraction form
    558.94/771.34 = 310.28/x
  3. Step 3: Cross multiply
    558.94x = 771.34 × 310.28
  4. Step 4: Simplify right side
    558.94x = 239,325.97
  5. Step 5: Solve for x
    x = 239,325.97/558.94
  6. Step 6: Final answer
    x = 428.18

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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.