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Finding the Fourth Proportional to 643.27, 968.31 and 549.31

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Solution

The fourth proportional to 643.27, 968.31 and 549.31 is: 826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.27 : 968.31 = 549.31 : x
  2. Step 2: Convert to fraction form
    643.27/968.31 = 549.31/x
  3. Step 3: Cross multiply
    643.27x = 968.31 × 549.31
  4. Step 4: Simplify right side
    643.27x = 531,899.95
  5. Step 5: Solve for x
    x = 531,899.95/643.27
  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.