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Finding the Fourth Proportional to 543.96, 813.30 and 467.80

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Solution

The fourth proportional to 543.96, 813.30 and 467.80 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 813.30 = 467.80 : x
  2. Step 2: Convert to fraction form
    543.96/813.30 = 467.80/x
  3. Step 3: Cross multiply
    543.96x = 813.30 × 467.80
  4. Step 4: Simplify right side
    543.96x = 380,461.74
  5. Step 5: Solve for x
    x = 380,461.74/543.96
  6. Step 6: Final answer
    x = 699.43

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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.