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Finding the Fourth Proportional to 543.23, 815.11 and 400.13

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Solution

The fourth proportional to 543.23, 815.11 and 400.13 is: 600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.23 : 815.11 = 400.13 : x
  2. Step 2: Convert to fraction form
    543.23/815.11 = 400.13/x
  3. Step 3: Cross multiply
    543.23x = 815.11 × 400.13
  4. Step 4: Simplify right side
    543.23x = 326,149.96
  5. Step 5: Solve for x
    x = 326,149.96/543.23
  6. Step 6: Final answer
    x = 600.39

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