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Finding the Fourth Proportional to 712.13, 982.41 and 417.26

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Solution

The fourth proportional to 712.13, 982.41 and 417.26 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 982.41 = 417.26 : x
  2. Step 2: Convert to fraction form
    712.13/982.41 = 417.26/x
  3. Step 3: Cross multiply
    712.13x = 982.41 × 417.26
  4. Step 4: Simplify right side
    712.13x = 409,922.85
  5. Step 5: Solve for x
    x = 409,922.85/712.13
  6. Step 6: Final answer
    x = 575.63

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1.5x scale

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.