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Finding the Fourth Proportional to 1,621.79, 2,238.08 and 923.17

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Solution

The fourth proportional to 1,621.79, 2,238.08 and 923.17 is: 1,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.79 : 2,238.08 = 923.17 : x
  2. Step 2: Convert to fraction form
    1,621.79/2,238.08 = 923.17/x
  3. Step 3: Cross multiply
    1,621.79x = 2,238.08 × 923.17
  4. Step 4: Simplify right side
    1,621.79x = 2,066,112.51
  5. Step 5: Solve for x
    x = 2,066,112.51/1,621.79
  6. Step 6: Final answer
    x = 1,273.97

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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.