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Finding the Fourth Proportional to 645.88, 963.73 and 606.69

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Solution

The fourth proportional to 645.88, 963.73 and 606.69 is: 905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 963.73 = 606.69 : x
  2. Step 2: Convert to fraction form
    645.88/963.73 = 606.69/x
  3. Step 3: Cross multiply
    645.88x = 963.73 × 606.69
  4. Step 4: Simplify right side
    645.88x = 584,685.35
  5. Step 5: Solve for x
    x = 584,685.35/645.88
  6. Step 6: Final answer
    x = 905.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.