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Finding the Fourth Proportional to 559.68, 772.32 and 326.76

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Solution

The fourth proportional to 559.68, 772.32 and 326.76 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.68 : 772.32 = 326.76 : x
  2. Step 2: Convert to fraction form
    559.68/772.32 = 326.76/x
  3. Step 3: Cross multiply
    559.68x = 772.32 × 326.76
  4. Step 4: Simplify right side
    559.68x = 252,363.28
  5. Step 5: Solve for x
    x = 252,363.28/559.68
  6. Step 6: Final answer
    x = 450.91

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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.