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Finding the Fourth Proportional to 579.92, 868.46 and 406.76

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Solution

The fourth proportional to 579.92, 868.46 and 406.76 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.92 : 868.46 = 406.76 : x
  2. Step 2: Convert to fraction form
    579.92/868.46 = 406.76/x
  3. Step 3: Cross multiply
    579.92x = 868.46 × 406.76
  4. Step 4: Simplify right side
    579.92x = 353,254.79
  5. Step 5: Solve for x
    x = 353,254.79/579.92
  6. Step 6: Final answer
    x = 609.14

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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.