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Finding the Fourth Proportional to 579.74, 868.68 and 558.38

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Solution

The fourth proportional to 579.74, 868.68 and 558.38 is: 836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.74 : 868.68 = 558.38 : x
  2. Step 2: Convert to fraction form
    579.74/868.68 = 558.38/x
  3. Step 3: Cross multiply
    579.74x = 868.68 × 558.38
  4. Step 4: Simplify right side
    579.74x = 485,053.54
  5. Step 5: Solve for x
    x = 485,053.54/579.74
  6. Step 6: Final answer
    x = 836.67

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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.