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Finding the Fourth Proportional to 643.51, 962.43 and 382.87

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Solution

The fourth proportional to 643.51, 962.43 and 382.87 is: 572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.51 : 962.43 = 382.87 : x
  2. Step 2: Convert to fraction form
    643.51/962.43 = 382.87/x
  3. Step 3: Cross multiply
    643.51x = 962.43 × 382.87
  4. Step 4: Simplify right side
    643.51x = 368,485.57
  5. Step 5: Solve for x
    x = 368,485.57/643.51
  6. Step 6: Final answer
    x = 572.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.