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Finding the Fourth Proportional to 645.60, 890.87 and 365.84

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Solution

The fourth proportional to 645.60, 890.87 and 365.84 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 890.87 = 365.84 : x
  2. Step 2: Convert to fraction form
    645.60/890.87 = 365.84/x
  3. Step 3: Cross multiply
    645.60x = 890.87 × 365.84
  4. Step 4: Simplify right side
    645.60x = 325,916.28
  5. Step 5: Solve for x
    x = 325,916.28/645.60
  6. Step 6: Final answer
    x = 504.83

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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.