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Finding the Fourth Proportional to 1,236.38, 1,706.22 and 712.44

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Solution

The fourth proportional to 1,236.38, 1,706.22 and 712.44 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.38 : 1,706.22 = 712.44 : x
  2. Step 2: Convert to fraction form
    1,236.38/1,706.22 = 712.44/x
  3. Step 3: Cross multiply
    1,236.38x = 1,706.22 × 712.44
  4. Step 4: Simplify right side
    1,236.38x = 1,215,579.38
  5. Step 5: Solve for x
    x = 1,215,579.38/1,236.38
  6. Step 6: Final answer
    x = 983.18

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,237.38, 1,707.60 and 713.44
Similar ratio
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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.