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Finding the Fourth Proportional to 643.20, 960.72 and 552.24

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Solution

The fourth proportional to 643.20, 960.72 and 552.24 is: 824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.20 : 960.72 = 552.24 : x
  2. Step 2: Convert to fraction form
    643.20/960.72 = 552.24/x
  3. Step 3: Cross multiply
    643.20x = 960.72 × 552.24
  4. Step 4: Simplify right side
    643.20x = 530,548.01
  5. Step 5: Solve for x
    x = 530,548.01/643.20
  6. Step 6: Final answer
    x = 824.86

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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.