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Finding the Fourth Proportional to 712.39, 982.20 and 605.94

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Solution

The fourth proportional to 712.39, 982.20 and 605.94 is: 835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.39 : 982.20 = 605.94 : x
  2. Step 2: Convert to fraction form
    712.39/982.20 = 605.94/x
  3. Step 3: Cross multiply
    712.39x = 982.20 × 605.94
  4. Step 4: Simplify right side
    712.39x = 595,151.24
  5. Step 5: Solve for x
    x = 595,151.24/712.39
  6. Step 6: Final answer
    x = 835.43

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Half scale
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Double scale
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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.