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Finding the Fourth Proportional to 1,664.98, 2,297.63 and 918.92

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Solution

The fourth proportional to 1,664.98, 2,297.63 and 918.92 is: 1,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.98 : 2,297.63 = 918.92 : x
  2. Step 2: Convert to fraction form
    1,664.98/2,297.63 = 918.92/x
  3. Step 3: Cross multiply
    1,664.98x = 2,297.63 × 918.92
  4. Step 4: Simplify right side
    1,664.98x = 2,111,349.67
  5. Step 5: Solve for x
    x = 2,111,349.67/1,664.98
  6. Step 6: Final answer
    x = 1,268.09

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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.