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Finding the Fourth Proportional to 645.39, 889.35 and 468.05

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Solution

The fourth proportional to 645.39, 889.35 and 468.05 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.39 : 889.35 = 468.05 : x
  2. Step 2: Convert to fraction form
    645.39/889.35 = 468.05/x
  3. Step 3: Cross multiply
    645.39x = 889.35 × 468.05
  4. Step 4: Simplify right side
    645.39x = 416,260.27
  5. Step 5: Solve for x
    x = 416,260.27/645.39
  6. Step 6: Final answer
    x = 644.97

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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.