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Finding the Fourth Proportional to 1,202.37, 1,659.27 and 678.41

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Solution

The fourth proportional to 1,202.37, 1,659.27 and 678.41 is: 936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.37 : 1,659.27 = 678.41 : x
  2. Step 2: Convert to fraction form
    1,202.37/1,659.27 = 678.41/x
  3. Step 3: Cross multiply
    1,202.37x = 1,659.27 × 678.41
  4. Step 4: Simplify right side
    1,202.37x = 1,125,665.36
  5. Step 5: Solve for x
    x = 1,125,665.36/1,202.37
  6. Step 6: Final answer
    x = 936.21

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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.