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Finding the Fourth Proportional to 1,236.31, 1,706.21 and 712.38

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Solution

The fourth proportional to 1,236.31, 1,706.21 and 712.38 is: 983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.31 : 1,706.21 = 712.38 : x
  2. Step 2: Convert to fraction form
    1,236.31/1,706.21 = 712.38/x
  3. Step 3: Cross multiply
    1,236.31x = 1,706.21 × 712.38
  4. Step 4: Simplify right side
    1,236.31x = 1,215,457.79
  5. Step 5: Solve for x
    x = 1,215,457.79/1,236.31
  6. Step 6: Final answer
    x = 983.13

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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.