Home / 1,207.35-1,811.23-427.46

Finding the Fourth Proportional to 1,207.35, 1,811.23 and 427.46

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Solution

The fourth proportional to 1,207.35, 1,811.23 and 427.46 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.35 : 1,811.23 = 427.46 : x
  2. Step 2: Convert to fraction form
    1,207.35/1,811.23 = 427.46/x
  3. Step 3: Cross multiply
    1,207.35x = 1,811.23 × 427.46
  4. Step 4: Simplify right side
    1,207.35x = 774,218.25
  5. Step 5: Solve for x
    x = 774,218.25/1,207.35
  6. Step 6: Final answer
    x = 641.25

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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.