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Finding the Fourth Proportional to 579.40, 798.42 and 541.96

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Solution

The fourth proportional to 579.40, 798.42 and 541.96 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.40 : 798.42 = 541.96 : x
  2. Step 2: Convert to fraction form
    579.40/798.42 = 541.96/x
  3. Step 3: Cross multiply
    579.40x = 798.42 × 541.96
  4. Step 4: Simplify right side
    579.40x = 432,711.70
  5. Step 5: Solve for x
    x = 432,711.70/579.40
  6. Step 6: Final answer
    x = 746.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.