Home / 1,206.40-1,665.76-926.18

Finding the Fourth Proportional to 1,206.40, 1,665.76 and 926.18

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Solution

The fourth proportional to 1,206.40, 1,665.76 and 926.18 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.40 : 1,665.76 = 926.18 : x
  2. Step 2: Convert to fraction form
    1,206.40/1,665.76 = 926.18/x
  3. Step 3: Cross multiply
    1,206.40x = 1,665.76 × 926.18
  4. Step 4: Simplify right side
    1,206.40x = 1,542,793.60
  5. Step 5: Solve for x
    x = 1,542,793.60/1,206.40
  6. Step 6: Final answer
    x = 1,278.84

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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.