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Finding the Fourth Proportional to 1,257.75, 1,884.15 and 639.63

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Solution

The fourth proportional to 1,257.75, 1,884.15 and 639.63 is: 958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.75 : 1,884.15 = 639.63 : x
  2. Step 2: Convert to fraction form
    1,257.75/1,884.15 = 639.63/x
  3. Step 3: Cross multiply
    1,257.75x = 1,884.15 × 639.63
  4. Step 4: Simplify right side
    1,257.75x = 1,205,158.86
  5. Step 5: Solve for x
    x = 1,205,158.86/1,257.75
  6. Step 6: Final answer
    x = 958.19

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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.