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Finding the Fourth Proportional to 1,190.51, 1,784.39 and 641.55

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Solution

The fourth proportional to 1,190.51, 1,784.39 and 641.55 is: 961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.51 : 1,784.39 = 641.55 : x
  2. Step 2: Convert to fraction form
    1,190.51/1,784.39 = 641.55/x
  3. Step 3: Cross multiply
    1,190.51x = 1,784.39 × 641.55
  4. Step 4: Simplify right side
    1,190.51x = 1,144,765.64
  5. Step 5: Solve for x
    x = 1,144,765.64/1,190.51
  6. Step 6: Final answer
    x = 961.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.