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Finding the Fourth Proportional to 1,190.04, 1,640.16 and 1,004.01

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Solution

The fourth proportional to 1,190.04, 1,640.16 and 1,004.01 is: 1,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.04 : 1,640.16 = 1,004.01 : x
  2. Step 2: Convert to fraction form
    1,190.04/1,640.16 = 1,004.01/x
  3. Step 3: Cross multiply
    1,190.04x = 1,640.16 × 1,004.01
  4. Step 4: Simplify right side
    1,190.04x = 1,646,737.04
  5. Step 5: Solve for x
    x = 1,646,737.04/1,190.04
  6. Step 6: Final answer
    x = 1,383.77

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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.