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Finding the Fourth Proportional to 586.25, 809.04 and 353.39

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Solution

The fourth proportional to 586.25, 809.04 and 353.39 is: 487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.25 : 809.04 = 353.39 : x
  2. Step 2: Convert to fraction form
    586.25/809.04 = 353.39/x
  3. Step 3: Cross multiply
    586.25x = 809.04 × 353.39
  4. Step 4: Simplify right side
    586.25x = 285,906.65
  5. Step 5: Solve for x
    x = 285,906.65/586.25
  6. Step 6: Final answer
    x = 487.69

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Similar ratio
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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.