Home / 1,664.67-2,297.25-1,223.40

Finding the Fourth Proportional to 1,664.67, 2,297.25 and 1,223.40

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Solution

The fourth proportional to 1,664.67, 2,297.25 and 1,223.40 is: 1,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.67 : 2,297.25 = 1,223.40 : x
  2. Step 2: Convert to fraction form
    1,664.67/2,297.25 = 1,223.40/x
  3. Step 3: Cross multiply
    1,664.67x = 2,297.25 × 1,223.40
  4. Step 4: Simplify right side
    1,664.67x = 2,810,451.06
  5. Step 5: Solve for x
    x = 2,810,451.06/1,664.67
  6. Step 6: Final answer
    x = 1,688.29

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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.