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Finding the Fourth Proportional to 416.70, 628.32 and 363.24

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Solution

The fourth proportional to 416.70, 628.32 and 363.24 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.70 : 628.32 = 363.24 : x
  2. Step 2: Convert to fraction form
    416.70/628.32 = 363.24/x
  3. Step 3: Cross multiply
    416.70x = 628.32 × 363.24
  4. Step 4: Simplify right side
    416.70x = 228,230.96
  5. Step 5: Solve for x
    x = 228,230.96/416.70
  6. Step 6: Final answer
    x = 547.71

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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.