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Finding the Fourth Proportional to 1,249.50, 1,873.77 and 518.58

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Solution

The fourth proportional to 1,249.50, 1,873.77 and 518.58 is: 777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.50 : 1,873.77 = 518.58 : x
  2. Step 2: Convert to fraction form
    1,249.50/1,873.77 = 518.58/x
  3. Step 3: Cross multiply
    1,249.50x = 1,873.77 × 518.58
  4. Step 4: Simplify right side
    1,249.50x = 971,699.65
  5. Step 5: Solve for x
    x = 971,699.65/1,249.50
  6. Step 6: Final answer
    x = 777.67

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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.