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Finding the Fourth Proportional to 1,311.56, 1,809.93 and 722.09

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Solution

The fourth proportional to 1,311.56, 1,809.93 and 722.09 is: 996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.56 : 1,809.93 = 722.09 : x
  2. Step 2: Convert to fraction form
    1,311.56/1,809.93 = 722.09/x
  3. Step 3: Cross multiply
    1,311.56x = 1,809.93 × 722.09
  4. Step 4: Simplify right side
    1,311.56x = 1,306,923.30
  5. Step 5: Solve for x
    x = 1,306,923.30/1,311.56
  6. Step 6: Final answer
    x = 996.47

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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.