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Finding the Fourth Proportional to 1,640.91, 2,264.37 and 942.29

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Solution

The fourth proportional to 1,640.91, 2,264.37 and 942.29 is: 1,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.91 : 2,264.37 = 942.29 : x
  2. Step 2: Convert to fraction form
    1,640.91/2,264.37 = 942.29/x
  3. Step 3: Cross multiply
    1,640.91x = 2,264.37 × 942.29
  4. Step 4: Simplify right side
    1,640.91x = 2,133,692.14
  5. Step 5: Solve for x
    x = 2,133,692.14/1,640.91
  6. Step 6: Final answer
    x = 1,300.31

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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.