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Finding the Fourth Proportional to 645.08, 889.76 and 423.96

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Solution

The fourth proportional to 645.08, 889.76 and 423.96 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.08 : 889.76 = 423.96 : x
  2. Step 2: Convert to fraction form
    645.08/889.76 = 423.96/x
  3. Step 3: Cross multiply
    645.08x = 889.76 × 423.96
  4. Step 4: Simplify right side
    645.08x = 377,222.65
  5. Step 5: Solve for x
    x = 377,222.65/645.08
  6. Step 6: Final answer
    x = 584.77

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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.