Home / 1,541.33-2,311.91-675.64

Finding the Fourth Proportional to 1,541.33, 2,311.91 and 675.64

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Solution

The fourth proportional to 1,541.33, 2,311.91 and 675.64 is: 1,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.33 : 2,311.91 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,541.33/2,311.91 = 675.64/x
  3. Step 3: Cross multiply
    1,541.33x = 2,311.91 × 675.64
  4. Step 4: Simplify right side
    1,541.33x = 1,562,018.87
  5. Step 5: Solve for x
    x = 1,562,018.87/1,541.33
  6. Step 6: Final answer
    x = 1,013.42

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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.