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Finding the Fourth Proportional to 1,499.87, 2,249.87 and 526.11

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Solution

The fourth proportional to 1,499.87, 2,249.87 and 526.11 is: 789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.87 : 2,249.87 = 526.11 : x
  2. Step 2: Convert to fraction form
    1,499.87/2,249.87 = 526.11/x
  3. Step 3: Cross multiply
    1,499.87x = 2,249.87 × 526.11
  4. Step 4: Simplify right side
    1,499.87x = 1,183,676.48
  5. Step 5: Solve for x
    x = 1,183,676.48/1,499.87
  6. Step 6: Final answer
    x = 789.19

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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.