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Finding the Fourth Proportional to 643.88, 960.75 and 604.69

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Solution

The fourth proportional to 643.88, 960.75 and 604.69 is: 902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.88 : 960.75 = 604.69 : x
  2. Step 2: Convert to fraction form
    643.88/960.75 = 604.69/x
  3. Step 3: Cross multiply
    643.88x = 960.75 × 604.69
  4. Step 4: Simplify right side
    643.88x = 580,955.92
  5. Step 5: Solve for x
    x = 580,955.92/643.88
  6. Step 6: Final answer
    x = 902.27

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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.