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Finding the Fourth Proportional to 1,289.21, 1,933.72 and 739.67

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Solution

The fourth proportional to 1,289.21, 1,933.72 and 739.67 is: 1,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.21 : 1,933.72 = 739.67 : x
  2. Step 2: Convert to fraction form
    1,289.21/1,933.72 = 739.67/x
  3. Step 3: Cross multiply
    1,289.21x = 1,933.72 × 739.67
  4. Step 4: Simplify right side
    1,289.21x = 1,430,314.67
  5. Step 5: Solve for x
    x = 1,430,314.67/1,289.21
  6. Step 6: Final answer
    x = 1,109.45

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1.5x scale

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.