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Finding the Fourth Proportional to 543.44, 813.11 and 323.25

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Solution

The fourth proportional to 543.44, 813.11 and 323.25 is: 483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.44 : 813.11 = 323.25 : x
  2. Step 2: Convert to fraction form
    543.44/813.11 = 323.25/x
  3. Step 3: Cross multiply
    543.44x = 813.11 × 323.25
  4. Step 4: Simplify right side
    543.44x = 262,837.81
  5. Step 5: Solve for x
    x = 262,837.81/543.44
  6. Step 6: Final answer
    x = 483.66

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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.