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Finding the Fourth Proportional to 586.31, 809.09 and 320.74

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Solution

The fourth proportional to 586.31, 809.09 and 320.74 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 809.09 = 320.74 : x
  2. Step 2: Convert to fraction form
    586.31/809.09 = 320.74/x
  3. Step 3: Cross multiply
    586.31x = 809.09 × 320.74
  4. Step 4: Simplify right side
    586.31x = 259,507.53
  5. Step 5: Solve for x
    x = 259,507.53/586.31
  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.