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Finding the Fourth Proportional to 1,734.65, 2,602.99 and 639.78

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Solution

The fourth proportional to 1,734.65, 2,602.99 and 639.78 is: 960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.65 : 2,602.99 = 639.78 : x
  2. Step 2: Convert to fraction form
    1,734.65/2,602.99 = 639.78/x
  3. Step 3: Cross multiply
    1,734.65x = 2,602.99 × 639.78
  4. Step 4: Simplify right side
    1,734.65x = 1,665,331.98
  5. Step 5: Solve for x
    x = 1,665,331.98/1,734.65
  6. Step 6: Final answer
    x = 960.04

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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.