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Finding the Fourth Proportional to 645.62, 890.96 and 365.86

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Solution

The fourth proportional to 645.62, 890.96 and 365.86 is: 504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 890.96 = 365.86 : x
  2. Step 2: Convert to fraction form
    645.62/890.96 = 365.86/x
  3. Step 3: Cross multiply
    645.62x = 890.96 × 365.86
  4. Step 4: Simplify right side
    645.62x = 325,962.57
  5. Step 5: Solve for x
    x = 325,962.57/645.62
  6. Step 6: Final answer
    x = 504.89

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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.