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Finding the Fourth Proportional to 1,212.86, 1,820.19 and 472.58

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Solution

The fourth proportional to 1,212.86, 1,820.19 and 472.58 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.86 : 1,820.19 = 472.58 : x
  2. Step 2: Convert to fraction form
    1,212.86/1,820.19 = 472.58/x
  3. Step 3: Cross multiply
    1,212.86x = 1,820.19 × 472.58
  4. Step 4: Simplify right side
    1,212.86x = 860,183.03
  5. Step 5: Solve for x
    x = 860,183.03/1,212.86
  6. Step 6: Final answer
    x = 709.22

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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.