Home / 1,208.34-1,667.70-766.44

Finding the Fourth Proportional to 1,208.34, 1,667.70 and 766.44

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Solution

The fourth proportional to 1,208.34, 1,667.70 and 766.44 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,667.70 = 766.44 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,667.70 = 766.44/x
  3. Step 3: Cross multiply
    1,208.34x = 1,667.70 × 766.44
  4. Step 4: Simplify right side
    1,208.34x = 1,278,191.99
  5. Step 5: Solve for x
    x = 1,278,191.99/1,208.34
  6. Step 6: Final answer
    x = 1,057.81

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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.