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Finding the Fourth Proportional to 543.38, 751.22 and 520.43

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Solution

The fourth proportional to 543.38, 751.22 and 520.43 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 751.22 = 520.43 : x
  2. Step 2: Convert to fraction form
    543.38/751.22 = 520.43/x
  3. Step 3: Cross multiply
    543.38x = 751.22 × 520.43
  4. Step 4: Simplify right side
    543.38x = 390,951.07
  5. Step 5: Solve for x
    x = 390,951.07/543.38
  6. Step 6: Final answer
    x = 719.49

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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.