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Finding the Fourth Proportional to 1,649.69, 2,276.50 and 986.42

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Solution

The fourth proportional to 1,649.69, 2,276.50 and 986.42 is: 1,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.69 : 2,276.50 = 986.42 : x
  2. Step 2: Convert to fraction form
    1,649.69/2,276.50 = 986.42/x
  3. Step 3: Cross multiply
    1,649.69x = 2,276.50 × 986.42
  4. Step 4: Simplify right side
    1,649.69x = 2,245,585.13
  5. Step 5: Solve for x
    x = 2,245,585.13/1,649.69
  6. Step 6: Final answer
    x = 1,361.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.