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Finding the Fourth Proportional to 543.93, 819.12 and 507.48

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Solution

The fourth proportional to 543.93, 819.12 and 507.48 is: 764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.93 : 819.12 = 507.48 : x
  2. Step 2: Convert to fraction form
    543.93/819.12 = 507.48/x
  3. Step 3: Cross multiply
    543.93x = 819.12 × 507.48
  4. Step 4: Simplify right side
    543.93x = 415,687.02
  5. Step 5: Solve for x
    x = 415,687.02/543.93
  6. Step 6: Final answer
    x = 764.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.