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Finding the Fourth Proportional to 586.28, 809.07 and 320.73

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Solution

The fourth proportional to 586.28, 809.07 and 320.73 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.28 : 809.07 = 320.73 : x
  2. Step 2: Convert to fraction form
    586.28/809.07 = 320.73/x
  3. Step 3: Cross multiply
    586.28x = 809.07 × 320.73
  4. Step 4: Simplify right side
    586.28x = 259,493.02
  5. Step 5: Solve for x
    x = 259,493.02/586.28
  6. Step 6: Final answer
    x = 442.61

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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.