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Finding the Fourth Proportional to 1,173.77, 1,760.71 and 443.41

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Solution

The fourth proportional to 1,173.77, 1,760.71 and 443.41 is: 665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.77 : 1,760.71 = 443.41 : x
  2. Step 2: Convert to fraction form
    1,173.77/1,760.71 = 443.41/x
  3. Step 3: Cross multiply
    1,173.77x = 1,760.71 × 443.41
  4. Step 4: Simplify right side
    1,173.77x = 780,712.99
  5. Step 5: Solve for x
    x = 780,712.99/1,173.77
  6. Step 6: Final answer
    x = 665.13

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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.