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Finding the Fourth Proportional to 1,766.42, 2,649.26 and 725.40

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Solution

The fourth proportional to 1,766.42, 2,649.26 and 725.40 is: 1,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.42 : 2,649.26 = 725.40 : x
  2. Step 2: Convert to fraction form
    1,766.42/2,649.26 = 725.40/x
  3. Step 3: Cross multiply
    1,766.42x = 2,649.26 × 725.40
  4. Step 4: Simplify right side
    1,766.42x = 1,921,769.58
  5. Step 5: Solve for x
    x = 1,921,769.58/1,766.42
  6. Step 6: Final answer
    x = 1,087.95

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1.5x scale

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.