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Finding the Fourth Proportional to 2,305.43, 3,457.88 and 639.68

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Solution

The fourth proportional to 2,305.43, 3,457.88 and 639.68 is: 959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.43 : 3,457.88 = 639.68 : x
  2. Step 2: Convert to fraction form
    2,305.43/3,457.88 = 639.68/x
  3. Step 3: Cross multiply
    2,305.43x = 3,457.88 × 639.68
  4. Step 4: Simplify right side
    2,305.43x = 2,211,916.19
  5. Step 5: Solve for x
    x = 2,211,916.19/2,305.43
  6. Step 6: Final answer
    x = 959.44

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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.