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Finding the Fourth Proportional to 576.70, 794.79 and 543.10

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Solution

The fourth proportional to 576.70, 794.79 and 543.10 is: 748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 794.79 = 543.10 : x
  2. Step 2: Convert to fraction form
    576.70/794.79 = 543.10/x
  3. Step 3: Cross multiply
    576.70x = 794.79 × 543.10
  4. Step 4: Simplify right side
    576.70x = 431,650.45
  5. Step 5: Solve for x
    x = 431,650.45/576.70
  6. Step 6: Final answer
    x = 748.48

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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.