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Finding the Fourth Proportional to 1,736.34, 2,602.62 and 639.78

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Solution

The fourth proportional to 1,736.34, 2,602.62 and 639.78 is: 958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.34 : 2,602.62 = 639.78 : x
  2. Step 2: Convert to fraction form
    1,736.34/2,602.62 = 639.78/x
  3. Step 3: Cross multiply
    1,736.34x = 2,602.62 × 639.78
  4. Step 4: Simplify right side
    1,736.34x = 1,665,104.22
  5. Step 5: Solve for x
    x = 1,665,104.22/1,736.34
  6. Step 6: Final answer
    x = 958.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.