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Finding the Fourth Proportional to 1,639.04, 2,458.68 and 665.36

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Solution

The fourth proportional to 1,639.04, 2,458.68 and 665.36 is: 998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.04 : 2,458.68 = 665.36 : x
  2. Step 2: Convert to fraction form
    1,639.04/2,458.68 = 665.36/x
  3. Step 3: Cross multiply
    1,639.04x = 2,458.68 × 665.36
  4. Step 4: Simplify right side
    1,639.04x = 1,635,907.32
  5. Step 5: Solve for x
    x = 1,635,907.32/1,639.04
  6. Step 6: Final answer
    x = 998.09

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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.