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Finding the Fourth Proportional to 579.91, 868.31 and 305.42

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Solution

The fourth proportional to 579.91, 868.31 and 305.42 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.91 : 868.31 = 305.42 : x
  2. Step 2: Convert to fraction form
    579.91/868.31 = 305.42/x
  3. Step 3: Cross multiply
    579.91x = 868.31 × 305.42
  4. Step 4: Simplify right side
    579.91x = 265,199.24
  5. Step 5: Solve for x
    x = 265,199.24/579.91
  6. Step 6: Final answer
    x = 457.31

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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.