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Finding the Fourth Proportional to 699.99, 1,050.26 and 289.05

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Solution

The fourth proportional to 699.99, 1,050.26 and 289.05 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.99 : 1,050.26 = 289.05 : x
  2. Step 2: Convert to fraction form
    699.99/1,050.26 = 289.05/x
  3. Step 3: Cross multiply
    699.99x = 1,050.26 × 289.05
  4. Step 4: Simplify right side
    699.99x = 303,576.21
  5. Step 5: Solve for x
    x = 303,576.21/699.99
  6. Step 6: Final answer
    x = 433.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.