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Finding the Fourth Proportional to 559.61, 772.22 and 310.96

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Solution

The fourth proportional to 559.61, 772.22 and 310.96 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.61 : 772.22 = 310.96 : x
  2. Step 2: Convert to fraction form
    559.61/772.22 = 310.96/x
  3. Step 3: Cross multiply
    559.61x = 772.22 × 310.96
  4. Step 4: Simplify right side
    559.61x = 240,124.12
  5. Step 5: Solve for x
    x = 240,124.12/559.61
  6. Step 6: Final answer
    x = 429.10

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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.