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Finding the Fourth Proportional to 969.12, 1,453.69 and 919.89

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Solution

The fourth proportional to 969.12, 1,453.69 and 919.89 is: 1,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,453.69 = 919.89 : x
  2. Step 2: Convert to fraction form
    969.12/1,453.69 = 919.89/x
  3. Step 3: Cross multiply
    969.12x = 1,453.69 × 919.89
  4. Step 4: Simplify right side
    969.12x = 1,337,225.33
  5. Step 5: Solve for x
    x = 1,337,225.33/969.12
  6. Step 6: Final answer
    x = 1,379.84

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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.