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Finding the Fourth Proportional to 543.62, 749.94 and 522.67

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Solution

The fourth proportional to 543.62, 749.94 and 522.67 is: 721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.62 : 749.94 = 522.67 : x
  2. Step 2: Convert to fraction form
    543.62/749.94 = 522.67/x
  3. Step 3: Cross multiply
    543.62x = 749.94 × 522.67
  4. Step 4: Simplify right side
    543.62x = 391,971.14
  5. Step 5: Solve for x
    x = 391,971.14/543.62
  6. Step 6: Final answer
    x = 721.04

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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.