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Finding the Fourth Proportional to 559.49, 772.09 and 310.80

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Solution

The fourth proportional to 559.49, 772.09 and 310.80 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.49 : 772.09 = 310.80 : x
  2. Step 2: Convert to fraction form
    559.49/772.09 = 310.80/x
  3. Step 3: Cross multiply
    559.49x = 772.09 × 310.80
  4. Step 4: Simplify right side
    559.49x = 239,967.69
  5. Step 5: Solve for x
    x = 239,967.69/559.49
  6. Step 6: Final answer
    x = 428.90

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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.