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Finding the Fourth Proportional to 1,190.01, 1,640.51 and 941.61

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Solution

The fourth proportional to 1,190.01, 1,640.51 and 941.61 is: 1,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.01 : 1,640.51 = 941.61 : x
  2. Step 2: Convert to fraction form
    1,190.01/1,640.51 = 941.61/x
  3. Step 3: Cross multiply
    1,190.01x = 1,640.51 × 941.61
  4. Step 4: Simplify right side
    1,190.01x = 1,544,715.91
  5. Step 5: Solve for x
    x = 1,544,715.91/1,190.01
  6. Step 6: Final answer
    x = 1,298.07

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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.