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Finding the Fourth Proportional to 712.11, 982.49 and 417.37

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Solution

The fourth proportional to 712.11, 982.49 and 417.37 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.11 : 982.49 = 417.37 : x
  2. Step 2: Convert to fraction form
    712.11/982.49 = 417.37/x
  3. Step 3: Cross multiply
    712.11x = 982.49 × 417.37
  4. Step 4: Simplify right side
    712.11x = 410,059.76
  5. Step 5: Solve for x
    x = 410,059.76/712.11
  6. Step 6: Final answer
    x = 575.84

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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.