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Finding the Fourth Proportional to 579.70, 868.43 and 322.42

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Solution

The fourth proportional to 579.70, 868.43 and 322.42 is: 483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 868.43 = 322.42 : x
  2. Step 2: Convert to fraction form
    579.70/868.43 = 322.42/x
  3. Step 3: Cross multiply
    579.70x = 868.43 × 322.42
  4. Step 4: Simplify right side
    579.70x = 279,999.20
  5. Step 5: Solve for x
    x = 279,999.20/579.70
  6. Step 6: Final answer
    x = 483.01

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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.