Home / 1,207.82-1,811.70-342.13

Finding the Fourth Proportional to 1,207.82, 1,811.70 and 342.13

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Solution

The fourth proportional to 1,207.82, 1,811.70 and 342.13 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.82 : 1,811.70 = 342.13 : x
  2. Step 2: Convert to fraction form
    1,207.82/1,811.70 = 342.13/x
  3. Step 3: Cross multiply
    1,207.82x = 1,811.70 × 342.13
  4. Step 4: Simplify right side
    1,207.82x = 619,836.92
  5. Step 5: Solve for x
    x = 619,836.92/1,207.82
  6. Step 6: Final answer
    x = 513.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.