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Finding the Fourth Proportional to 543.20, 748.98 and 513.99

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Solution

The fourth proportional to 543.20, 748.98 and 513.99 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.20 : 748.98 = 513.99 : x
  2. Step 2: Convert to fraction form
    543.20/748.98 = 513.99/x
  3. Step 3: Cross multiply
    543.20x = 748.98 × 513.99
  4. Step 4: Simplify right side
    543.20x = 384,968.23
  5. Step 5: Solve for x
    x = 384,968.23/543.20
  6. Step 6: Final answer
    x = 708.71

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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.