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Finding the Fourth Proportional to 559.57, 772.21 and 310.91

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Solution

The fourth proportional to 559.57, 772.21 and 310.91 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.57 : 772.21 = 310.91 : x
  2. Step 2: Convert to fraction form
    559.57/772.21 = 310.91/x
  3. Step 3: Cross multiply
    559.57x = 772.21 × 310.91
  4. Step 4: Simplify right side
    559.57x = 240,083.95
  5. Step 5: Solve for x
    x = 240,083.95/559.57
  6. Step 6: Final answer
    x = 429.05

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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.