Home / 1,202.82-1,656.32-1,175.55

Finding the Fourth Proportional to 1,202.82, 1,656.32 and 1,175.55

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Solution

The fourth proportional to 1,202.82, 1,656.32 and 1,175.55 is: 1,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,656.32 = 1,175.55 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,656.32 = 1,175.55/x
  3. Step 3: Cross multiply
    1,202.82x = 1,656.32 × 1,175.55
  4. Step 4: Simplify right side
    1,202.82x = 1,947,081.10
  5. Step 5: Solve for x
    x = 1,947,081.10/1,202.82
  6. Step 6: Final answer
    x = 1,618.76

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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.