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Finding the Fourth Proportional to 580.45, 868.79 and 426.35

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Solution

The fourth proportional to 580.45, 868.79 and 426.35 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.45 : 868.79 = 426.35 : x
  2. Step 2: Convert to fraction form
    580.45/868.79 = 426.35/x
  3. Step 3: Cross multiply
    580.45x = 868.79 × 426.35
  4. Step 4: Simplify right side
    580.45x = 370,406.97
  5. Step 5: Solve for x
    x = 370,406.97/580.45
  6. Step 6: Final answer
    x = 638.14

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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.