Home / 712.13-982.41-417.27

Finding the Fourth Proportional to 712.13, 982.41 and 417.27

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Solution

The fourth proportional to 712.13, 982.41 and 417.27 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 982.41 = 417.27 : x
  2. Step 2: Convert to fraction form
    712.13/982.41 = 417.27/x
  3. Step 3: Cross multiply
    712.13x = 982.41 × 417.27
  4. Step 4: Simplify right side
    712.13x = 409,930.22
  5. Step 5: Solve for x
    x = 409,930.22/712.13
  6. Step 6: Final answer
    x = 575.64

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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.