Home / 1,109.51-1,664.46-675.75

Finding the Fourth Proportional to 1,109.51, 1,664.46 and 675.75

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Solution

The fourth proportional to 1,109.51, 1,664.46 and 675.75 is: 1,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.51 : 1,664.46 = 675.75 : x
  2. Step 2: Convert to fraction form
    1,109.51/1,664.46 = 675.75/x
  3. Step 3: Cross multiply
    1,109.51x = 1,664.46 × 675.75
  4. Step 4: Simplify right side
    1,109.51x = 1,124,758.85
  5. Step 5: Solve for x
    x = 1,124,758.85/1,109.51
  6. Step 6: Final answer
    x = 1,013.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.