Home / 1,664.59-2,297.24-918.54

Finding the Fourth Proportional to 1,664.59, 2,297.24 and 918.54

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Solution

The fourth proportional to 1,664.59, 2,297.24 and 918.54 is: 1,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.59 : 2,297.24 = 918.54 : x
  2. Step 2: Convert to fraction form
    1,664.59/2,297.24 = 918.54/x
  3. Step 3: Cross multiply
    1,664.59x = 2,297.24 × 918.54
  4. Step 4: Simplify right side
    1,664.59x = 2,110,107.98
  5. Step 5: Solve for x
    x = 2,110,107.98/1,664.59
  6. Step 6: Final answer
    x = 1,267.65

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Why These Related Problems?

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