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Finding the Fourth Proportional to 1,180.74, 1,771.56 and 450.15

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Solution

The fourth proportional to 1,180.74, 1,771.56 and 450.15 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.74 : 1,771.56 = 450.15 : x
  2. Step 2: Convert to fraction form
    1,180.74/1,771.56 = 450.15/x
  3. Step 3: Cross multiply
    1,180.74x = 1,771.56 × 450.15
  4. Step 4: Simplify right side
    1,180.74x = 797,461.09
  5. Step 5: Solve for x
    x = 797,461.09/1,180.74
  6. Step 6: Final answer
    x = 675.39

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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.