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Finding the Fourth Proportional to 543.72, 816.30 and 427.80

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Solution

The fourth proportional to 543.72, 816.30 and 427.80 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.72 : 816.30 = 427.80 : x
  2. Step 2: Convert to fraction form
    543.72/816.30 = 427.80/x
  3. Step 3: Cross multiply
    543.72x = 816.30 × 427.80
  4. Step 4: Simplify right side
    543.72x = 349,213.14
  5. Step 5: Solve for x
    x = 349,213.14/543.72
  6. Step 6: Final answer
    x = 642.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.