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Finding the Fourth Proportional to 1,665.08, 2,297.92 and 957.04

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Solution

The fourth proportional to 1,665.08, 2,297.92 and 957.04 is: 1,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.08 : 2,297.92 = 957.04 : x
  2. Step 2: Convert to fraction form
    1,665.08/2,297.92 = 957.04/x
  3. Step 3: Cross multiply
    1,665.08x = 2,297.92 × 957.04
  4. Step 4: Simplify right side
    1,665.08x = 2,199,189.87
  5. Step 5: Solve for x
    x = 2,199,189.87/1,665.08
  6. Step 6: Final answer
    x = 1,320.78

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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.