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Finding the Fourth Proportional to 579.59, 867.20 and 406.59

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Solution

The fourth proportional to 579.59, 867.20 and 406.59 is: 608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.59 : 867.20 = 406.59 : x
  2. Step 2: Convert to fraction form
    579.59/867.20 = 406.59/x
  3. Step 3: Cross multiply
    579.59x = 867.20 × 406.59
  4. Step 4: Simplify right side
    579.59x = 352,594.94
  5. Step 5: Solve for x
    x = 352,594.94/579.59
  6. Step 6: Final answer
    x = 608.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.