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Finding the Fourth Proportional to 1,213.41, 1,674.37 and 682.19

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Solution

The fourth proportional to 1,213.41, 1,674.37 and 682.19 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.41 : 1,674.37 = 682.19 : x
  2. Step 2: Convert to fraction form
    1,213.41/1,674.37 = 682.19/x
  3. Step 3: Cross multiply
    1,213.41x = 1,674.37 × 682.19
  4. Step 4: Simplify right side
    1,213.41x = 1,142,234.28
  5. Step 5: Solve for x
    x = 1,142,234.28/1,213.41
  6. Step 6: Final answer
    x = 941.34

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Find fourth proportional to 606.71, 837.19 and 341.09
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.