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Finding the Fourth Proportional to 712.22, 982.68 and 417.50

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Solution

The fourth proportional to 712.22, 982.68 and 417.50 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.22 : 982.68 = 417.50 : x
  2. Step 2: Convert to fraction form
    712.22/982.68 = 417.50/x
  3. Step 3: Cross multiply
    712.22x = 982.68 × 417.50
  4. Step 4: Simplify right side
    712.22x = 410,268.90
  5. Step 5: Solve for x
    x = 410,268.90/712.22
  6. Step 6: Final answer
    x = 576.04

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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.