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Finding the Fourth Proportional to 1,638.07, 2,458.11 and 650.72

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Solution

The fourth proportional to 1,638.07, 2,458.11 and 650.72 is: 976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.07 : 2,458.11 = 650.72 : x
  2. Step 2: Convert to fraction form
    1,638.07/2,458.11 = 650.72/x
  3. Step 3: Cross multiply
    1,638.07x = 2,458.11 × 650.72
  4. Step 4: Simplify right side
    1,638.07x = 1,599,541.34
  5. Step 5: Solve for x
    x = 1,599,541.34/1,638.07
  6. Step 6: Final answer
    x = 976.48

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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.