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Finding the Fourth Proportional to 1,664.89, 2,297.50 and 956.75

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Solution

The fourth proportional to 1,664.89, 2,297.50 and 956.75 is: 1,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.89 : 2,297.50 = 956.75 : x
  2. Step 2: Convert to fraction form
    1,664.89/2,297.50 = 956.75/x
  3. Step 3: Cross multiply
    1,664.89x = 2,297.50 × 956.75
  4. Step 4: Simplify right side
    1,664.89x = 2,198,119.25
  5. Step 5: Solve for x
    x = 2,198,119.25/1,664.89
  6. Step 6: Final answer
    x = 1,320.28

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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.