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Finding the Fourth Proportional to 712.15, 982.77 and 397.44

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Solution

The fourth proportional to 712.15, 982.77 and 397.44 is: 548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 982.77 = 397.44 : x
  2. Step 2: Convert to fraction form
    712.15/982.77 = 397.44/x
  3. Step 3: Cross multiply
    712.15x = 982.77 × 397.44
  4. Step 4: Simplify right side
    712.15x = 390,592.11
  5. Step 5: Solve for x
    x = 390,592.11/712.15
  6. Step 6: Final answer
    x = 548.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.