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Finding the Fourth Proportional to 543.48, 749.83 and 333.55

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Solution

The fourth proportional to 543.48, 749.83 and 333.55 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 749.83 = 333.55 : x
  2. Step 2: Convert to fraction form
    543.48/749.83 = 333.55/x
  3. Step 3: Cross multiply
    543.48x = 749.83 × 333.55
  4. Step 4: Simplify right side
    543.48x = 250,105.80
  5. Step 5: Solve for x
    x = 250,105.80/543.48
  6. Step 6: Final answer
    x = 460.19

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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.