Home / 1,284.15-1,926.36-406.69

Finding the Fourth Proportional to 1,284.15, 1,926.36 and 406.69

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Solution

The fourth proportional to 1,284.15, 1,926.36 and 406.69 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.15 : 1,926.36 = 406.69 : x
  2. Step 2: Convert to fraction form
    1,284.15/1,926.36 = 406.69/x
  3. Step 3: Cross multiply
    1,284.15x = 1,926.36 × 406.69
  4. Step 4: Simplify right side
    1,284.15x = 783,431.35
  5. Step 5: Solve for x
    x = 783,431.35/1,284.15
  6. Step 6: Final answer
    x = 610.08

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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.