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Finding the Fourth Proportional to 456.39, 628.72 and 363.10

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Solution

The fourth proportional to 456.39, 628.72 and 363.10 is: 500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.39 : 628.72 = 363.10 : x
  2. Step 2: Convert to fraction form
    456.39/628.72 = 363.10/x
  3. Step 3: Cross multiply
    456.39x = 628.72 × 363.10
  4. Step 4: Simplify right side
    456.39x = 228,286.42
  5. Step 5: Solve for x
    x = 228,286.42/456.39
  6. Step 6: Final answer
    x = 500.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.