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Finding the Fourth Proportional to 559.69, 772.45 and 326.81

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Solution

The fourth proportional to 559.69, 772.45 and 326.81 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.69 : 772.45 = 326.81 : x
  2. Step 2: Convert to fraction form
    559.69/772.45 = 326.81/x
  3. Step 3: Cross multiply
    559.69x = 772.45 × 326.81
  4. Step 4: Simplify right side
    559.69x = 252,445.50
  5. Step 5: Solve for x
    x = 252,445.50/559.69
  6. Step 6: Final answer
    x = 451.05

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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.