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Finding the Fourth Proportional to 645.38, 890.48 and 365.59

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Solution

The fourth proportional to 645.38, 890.48 and 365.59 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.38 : 890.48 = 365.59 : x
  2. Step 2: Convert to fraction form
    645.38/890.48 = 365.59/x
  3. Step 3: Cross multiply
    645.38x = 890.48 × 365.59
  4. Step 4: Simplify right side
    645.38x = 325,544.30
  5. Step 5: Solve for x
    x = 325,544.30/645.38
  6. Step 6: Final answer
    x = 504.43

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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.