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Finding the Fourth Proportional to 1,639.66, 2,459.49 and 664.69

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Solution

The fourth proportional to 1,639.66, 2,459.49 and 664.69 is: 997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.66 : 2,459.49 = 664.69 : x
  2. Step 2: Convert to fraction form
    1,639.66/2,459.49 = 664.69/x
  3. Step 3: Cross multiply
    1,639.66x = 2,459.49 × 664.69
  4. Step 4: Simplify right side
    1,639.66x = 1,634,798.41
  5. Step 5: Solve for x
    x = 1,634,798.41/1,639.66
  6. Step 6: Final answer
    x = 997.04

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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.