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Finding the Fourth Proportional to 580.40, 868.44 and 324.08

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Solution

The fourth proportional to 580.40, 868.44 and 324.08 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 868.44 = 324.08 : x
  2. Step 2: Convert to fraction form
    580.40/868.44 = 324.08/x
  3. Step 3: Cross multiply
    580.40x = 868.44 × 324.08
  4. Step 4: Simplify right side
    580.40x = 281,444.04
  5. Step 5: Solve for x
    x = 281,444.04/580.40
  6. Step 6: Final answer
    x = 484.91

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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.