Home / 1,213.07-1,817.70-969.53

Finding the Fourth Proportional to 1,213.07, 1,817.70 and 969.53

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Solution

The fourth proportional to 1,213.07, 1,817.70 and 969.53 is: 1,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.07 : 1,817.70 = 969.53 : x
  2. Step 2: Convert to fraction form
    1,213.07/1,817.70 = 969.53/x
  3. Step 3: Cross multiply
    1,213.07x = 1,817.70 × 969.53
  4. Step 4: Simplify right side
    1,213.07x = 1,762,314.68
  5. Step 5: Solve for x
    x = 1,762,314.68/1,213.07
  6. Step 6: Final answer
    x = 1,452.77

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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.