Home / 1,284.78-1,927.14-419.04

Finding the Fourth Proportional to 1,284.78, 1,927.14 and 419.04

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Solution

The fourth proportional to 1,284.78, 1,927.14 and 419.04 is: 628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.78 : 1,927.14 = 419.04 : x
  2. Step 2: Convert to fraction form
    1,284.78/1,927.14 = 419.04/x
  3. Step 3: Cross multiply
    1,284.78x = 1,927.14 × 419.04
  4. Step 4: Simplify right side
    1,284.78x = 807,548.75
  5. Step 5: Solve for x
    x = 807,548.75/1,284.78
  6. Step 6: Final answer
    x = 628.55

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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.