Home / 1,214.28-1,823.09-629.69

Finding the Fourth Proportional to 1,214.28, 1,823.09 and 629.69

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Solution

The fourth proportional to 1,214.28, 1,823.09 and 629.69 is: 945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.28 : 1,823.09 = 629.69 : x
  2. Step 2: Convert to fraction form
    1,214.28/1,823.09 = 629.69/x
  3. Step 3: Cross multiply
    1,214.28x = 1,823.09 × 629.69
  4. Step 4: Simplify right side
    1,214.28x = 1,147,980.84
  5. Step 5: Solve for x
    x = 1,147,980.84/1,214.28
  6. Step 6: Final answer
    x = 945.40

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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.