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Finding the Fourth Proportional to 579.03, 868.64 and 319.16

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Solution

The fourth proportional to 579.03, 868.64 and 319.16 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.03 : 868.64 = 319.16 : x
  2. Step 2: Convert to fraction form
    579.03/868.64 = 319.16/x
  3. Step 3: Cross multiply
    579.03x = 868.64 × 319.16
  4. Step 4: Simplify right side
    579.03x = 277,231.60
  5. Step 5: Solve for x
    x = 277,231.60/579.03
  6. Step 6: Final answer
    x = 478.79

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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.