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Finding the Fourth Proportional to 507.96, 761.33 and 363.38

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Solution

The fourth proportional to 507.96, 761.33 and 363.38 is: 544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 761.33 = 363.38 : x
  2. Step 2: Convert to fraction form
    507.96/761.33 = 363.38/x
  3. Step 3: Cross multiply
    507.96x = 761.33 × 363.38
  4. Step 4: Simplify right side
    507.96x = 276,649.20
  5. Step 5: Solve for x
    x = 276,649.20/507.96
  6. Step 6: Final answer
    x = 544.63

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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.