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Finding the Fourth Proportional to 1,770.34, 2,656.62 and 674.80

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Solution

The fourth proportional to 1,770.34, 2,656.62 and 674.80 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.34 : 2,656.62 = 674.80 : x
  2. Step 2: Convert to fraction form
    1,770.34/2,656.62 = 674.80/x
  3. Step 3: Cross multiply
    1,770.34x = 2,656.62 × 674.80
  4. Step 4: Simplify right side
    1,770.34x = 1,792,687.18
  5. Step 5: Solve for x
    x = 1,792,687.18/1,770.34
  6. Step 6: Final answer
    x = 1,012.62

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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.