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Finding the Fourth Proportional to 645.30, 890.50 and 350.56

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Solution

The fourth proportional to 645.30, 890.50 and 350.56 is: 483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.30 : 890.50 = 350.56 : x
  2. Step 2: Convert to fraction form
    645.30/890.50 = 350.56/x
  3. Step 3: Cross multiply
    645.30x = 890.50 × 350.56
  4. Step 4: Simplify right side
    645.30x = 312,173.68
  5. Step 5: Solve for x
    x = 312,173.68/645.30
  6. Step 6: Final answer
    x = 483.77

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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.