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Finding the Fourth Proportional to 559.27, 771.67 and 310.53

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Solution

The fourth proportional to 559.27, 771.67 and 310.53 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.27 : 771.67 = 310.53 : x
  2. Step 2: Convert to fraction form
    559.27/771.67 = 310.53/x
  3. Step 3: Cross multiply
    559.27x = 771.67 × 310.53
  4. Step 4: Simplify right side
    559.27x = 239,629.97
  5. Step 5: Solve for x
    x = 239,629.97/559.27
  6. Step 6: Final answer
    x = 428.47

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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.