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Finding the Fourth Proportional to 643.16, 960.05 and 552.44

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Solution

The fourth proportional to 643.16, 960.05 and 552.44 is: 824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 960.05 = 552.44 : x
  2. Step 2: Convert to fraction form
    643.16/960.05 = 552.44/x
  3. Step 3: Cross multiply
    643.16x = 960.05 × 552.44
  4. Step 4: Simplify right side
    643.16x = 530,362.46
  5. Step 5: Solve for x
    x = 530,362.46/643.16
  6. Step 6: Final answer
    x = 824.63

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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.