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Finding the Fourth Proportional to 948.46, 1,422.82 and 363.82

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Solution

The fourth proportional to 948.46, 1,422.82 and 363.82 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.46 : 1,422.82 = 363.82 : x
  2. Step 2: Convert to fraction form
    948.46/1,422.82 = 363.82/x
  3. Step 3: Cross multiply
    948.46x = 1,422.82 × 363.82
  4. Step 4: Simplify right side
    948.46x = 517,650.37
  5. Step 5: Solve for x
    x = 517,650.37/948.46
  6. Step 6: Final answer
    x = 545.78

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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.