Home / 1,103.19-1,521.40-730.54

Finding the Fourth Proportional to 1,103.19, 1,521.40 and 730.54

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Solution

The fourth proportional to 1,103.19, 1,521.40 and 730.54 is: 1,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.19 : 1,521.40 = 730.54 : x
  2. Step 2: Convert to fraction form
    1,103.19/1,521.40 = 730.54/x
  3. Step 3: Cross multiply
    1,103.19x = 1,521.40 × 730.54
  4. Step 4: Simplify right side
    1,103.19x = 1,111,436.44
  5. Step 5: Solve for x
    x = 1,111,436.44/1,103.19
  6. Step 6: Final answer
    x = 1,007.48

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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.