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Finding the Fourth Proportional to 1,232.78, 1,713.31 and 1,219.82

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Solution

The fourth proportional to 1,232.78, 1,713.31 and 1,219.82 is: 1,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,713.31 = 1,219.82 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,713.31 = 1,219.82/x
  3. Step 3: Cross multiply
    1,232.78x = 1,713.31 × 1,219.82
  4. Step 4: Simplify right side
    1,232.78x = 2,089,923.71
  5. Step 5: Solve for x
    x = 2,089,923.71/1,232.78
  6. Step 6: Final answer
    x = 1,695.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.