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Finding the Fourth Proportional to 559.74, 772.20 and 320.34

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Solution

The fourth proportional to 559.74, 772.20 and 320.34 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 772.20 = 320.34 : x
  2. Step 2: Convert to fraction form
    559.74/772.20 = 320.34/x
  3. Step 3: Cross multiply
    559.74x = 772.20 × 320.34
  4. Step 4: Simplify right side
    559.74x = 247,366.55
  5. Step 5: Solve for x
    x = 247,366.55/559.74
  6. Step 6: Final answer
    x = 441.93

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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.