Home / 712.09-982.77-417.30

Finding the Fourth Proportional to 712.09, 982.77 and 417.30

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Solution

The fourth proportional to 712.09, 982.77 and 417.30 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.09 : 982.77 = 417.30 : x
  2. Step 2: Convert to fraction form
    712.09/982.77 = 417.30/x
  3. Step 3: Cross multiply
    712.09x = 982.77 × 417.30
  4. Step 4: Simplify right side
    712.09x = 410,109.92
  5. Step 5: Solve for x
    x = 410,109.92/712.09
  6. Step 6: Final answer
    x = 575.92

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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.