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Finding the Fourth Proportional to 1,190.44, 1,784.22 and 505

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Solution

The fourth proportional to 1,190.44, 1,784.22 and 505 is: 756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.44 : 1,784.22 = 505 : x
  2. Step 2: Convert to fraction form
    1,190.44/1,784.22 = 505/x
  3. Step 3: Cross multiply
    1,190.44x = 1,784.22 × 505
  4. Step 4: Simplify right side
    1,190.44x = 901,031.10
  5. Step 5: Solve for x
    x = 901,031.10/1,190.44
  6. Step 6: Final answer
    x = 756.89

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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.