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Finding the Fourth Proportional to 1,190.88, 1,782.76 and 1,065.74

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Solution

The fourth proportional to 1,190.88, 1,782.76 and 1,065.74 is: 1,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.88 : 1,782.76 = 1,065.74 : x
  2. Step 2: Convert to fraction form
    1,190.88/1,782.76 = 1,065.74/x
  3. Step 3: Cross multiply
    1,190.88x = 1,782.76 × 1,065.74
  4. Step 4: Simplify right side
    1,190.88x = 1,899,958.64
  5. Step 5: Solve for x
    x = 1,899,958.64/1,190.88
  6. Step 6: Final answer
    x = 1,595.42

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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.