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Finding the Fourth Proportional to 1,213.10, 1,674.15 and 682.00

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Solution

The fourth proportional to 1,213.10, 1,674.15 and 682.00 is: 941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.10 : 1,674.15 = 682.00 : x
  2. Step 2: Convert to fraction form
    1,213.10/1,674.15 = 682.00/x
  3. Step 3: Cross multiply
    1,213.10x = 1,674.15 × 682.00
  4. Step 4: Simplify right side
    1,213.10x = 1,141,761.93
  5. Step 5: Solve for x
    x = 1,141,761.93/1,213.10
  6. Step 6: Final answer
    x = 941.19

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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.