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Finding the Fourth Proportional to 643.28, 968.31 and 549.32

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Solution

The fourth proportional to 643.28, 968.31 and 549.32 is: 826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.28 : 968.31 = 549.32 : x
  2. Step 2: Convert to fraction form
    643.28/968.31 = 549.32/x
  3. Step 3: Cross multiply
    643.28x = 968.31 × 549.32
  4. Step 4: Simplify right side
    643.28x = 531,907.21
  5. Step 5: Solve for x
    x = 531,907.21/643.28
  6. Step 6: Final answer
    x = 826.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.