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Finding the Fourth Proportional to 1,180.19, 1,768.72 and 486.44

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Solution

The fourth proportional to 1,180.19, 1,768.72 and 486.44 is: 729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.19 : 1,768.72 = 486.44 : x
  2. Step 2: Convert to fraction form
    1,180.19/1,768.72 = 486.44/x
  3. Step 3: Cross multiply
    1,180.19x = 1,768.72 × 486.44
  4. Step 4: Simplify right side
    1,180.19x = 860,376.16
  5. Step 5: Solve for x
    x = 860,376.16/1,180.19
  6. Step 6: Final answer
    x = 729.01

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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.