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Finding the Fourth Proportional to 643.53, 960.23 and 604.34

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Solution

The fourth proportional to 643.53, 960.23 and 604.34 is: 901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.53 : 960.23 = 604.34 : x
  2. Step 2: Convert to fraction form
    643.53/960.23 = 604.34/x
  3. Step 3: Cross multiply
    643.53x = 960.23 × 604.34
  4. Step 4: Simplify right side
    643.53x = 580,305.40
  5. Step 5: Solve for x
    x = 580,305.40/643.53
  6. Step 6: Final answer
    x = 901.75

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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.