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Finding the Fourth Proportional to 543.60, 813.35 and 323.42

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Solution

The fourth proportional to 543.60, 813.35 and 323.42 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 813.35 = 323.42 : x
  2. Step 2: Convert to fraction form
    543.60/813.35 = 323.42/x
  3. Step 3: Cross multiply
    543.60x = 813.35 × 323.42
  4. Step 4: Simplify right side
    543.60x = 263,047.97
  5. Step 5: Solve for x
    x = 263,047.97/543.60
  6. Step 6: Final answer
    x = 483.90

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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.