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Finding the Fourth Proportional to 1,278.59, 1,917.79 and 729.05

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Solution

The fourth proportional to 1,278.59, 1,917.79 and 729.05 is: 1,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.59 : 1,917.79 = 729.05 : x
  2. Step 2: Convert to fraction form
    1,278.59/1,917.79 = 729.05/x
  3. Step 3: Cross multiply
    1,278.59x = 1,917.79 × 729.05
  4. Step 4: Simplify right side
    1,278.59x = 1,398,153.39
  5. Step 5: Solve for x
    x = 1,398,153.39/1,278.59
  6. Step 6: Final answer
    x = 1,093.52

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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.