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Finding the Fourth Proportional to 1,636.96, 2,454.40 and 662.72

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Solution

The fourth proportional to 1,636.96, 2,454.40 and 662.72 is: 993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.96 : 2,454.40 = 662.72 : x
  2. Step 2: Convert to fraction form
    1,636.96/2,454.40 = 662.72/x
  3. Step 3: Cross multiply
    1,636.96x = 2,454.40 × 662.72
  4. Step 4: Simplify right side
    1,636.96x = 1,626,579.97
  5. Step 5: Solve for x
    x = 1,626,579.97/1,636.96
  6. Step 6: Final answer
    x = 993.66

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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.