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Finding the Fourth Proportional to 645.17, 890.33 and 350.43

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Solution

The fourth proportional to 645.17, 890.33 and 350.43 is: 483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.17 : 890.33 = 350.43 : x
  2. Step 2: Convert to fraction form
    645.17/890.33 = 350.43/x
  3. Step 3: Cross multiply
    645.17x = 890.33 × 350.43
  4. Step 4: Simplify right side
    645.17x = 311,996.59
  5. Step 5: Solve for x
    x = 311,996.59/645.17
  6. Step 6: Final answer
    x = 483.59

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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.