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Finding the Fourth Proportional to 543.10, 812.41 and 405.80

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Solution

The fourth proportional to 543.10, 812.41 and 405.80 is: 607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.10 : 812.41 = 405.80 : x
  2. Step 2: Convert to fraction form
    543.10/812.41 = 405.80/x
  3. Step 3: Cross multiply
    543.10x = 812.41 × 405.80
  4. Step 4: Simplify right side
    543.10x = 329,675.98
  5. Step 5: Solve for x
    x = 329,675.98/543.10
  6. Step 6: Final answer
    x = 607.03

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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.