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Finding the Fourth Proportional to 543.20, 749.75 and 487.84

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Solution

The fourth proportional to 543.20, 749.75 and 487.84 is: 673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.20 : 749.75 = 487.84 : x
  2. Step 2: Convert to fraction form
    543.20/749.75 = 487.84/x
  3. Step 3: Cross multiply
    543.20x = 749.75 × 487.84
  4. Step 4: Simplify right side
    543.20x = 365,751.85
  5. Step 5: Solve for x
    x = 365,751.85/543.20
  6. Step 6: Final answer
    x = 673.33

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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.