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Finding the Fourth Proportional to 543.57, 748.81 and 377.49

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Solution

The fourth proportional to 543.57, 748.81 and 377.49 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 748.81 = 377.49 : x
  2. Step 2: Convert to fraction form
    543.57/748.81 = 377.49/x
  3. Step 3: Cross multiply
    543.57x = 748.81 × 377.49
  4. Step 4: Simplify right side
    543.57x = 282,668.29
  5. Step 5: Solve for x
    x = 282,668.29/543.57
  6. Step 6: Final answer
    x = 520.02

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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.