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Finding the Fourth Proportional to 1,883, 2,824.52 and 650.72

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Solution

The fourth proportional to 1,883, 2,824.52 and 650.72 is: 976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883 : 2,824.52 = 650.72 : x
  2. Step 2: Convert to fraction form
    1,883/2,824.52 = 650.72/x
  3. Step 3: Cross multiply
    1,883x = 2,824.52 × 650.72
  4. Step 4: Simplify right side
    1,883x = 1,837,971.65
  5. Step 5: Solve for x
    x = 1,837,971.65/1,883
  6. Step 6: Final answer
    x = 976.09

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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.