Home / 1,208.31-1,667.21-766.79

Finding the Fourth Proportional to 1,208.31, 1,667.21 and 766.79

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Solution

The fourth proportional to 1,208.31, 1,667.21 and 766.79 is: 1,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.31 : 1,667.21 = 766.79 : x
  2. Step 2: Convert to fraction form
    1,208.31/1,667.21 = 766.79/x
  3. Step 3: Cross multiply
    1,208.31x = 1,667.21 × 766.79
  4. Step 4: Simplify right side
    1,208.31x = 1,278,399.96
  5. Step 5: Solve for x
    x = 1,278,399.96/1,208.31
  6. Step 6: Final answer
    x = 1,058.01

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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.