Home / 1,284.96-1,927.58-419.07

Finding the Fourth Proportional to 1,284.96, 1,927.58 and 419.07

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Solution

The fourth proportional to 1,284.96, 1,927.58 and 419.07 is: 628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.96 : 1,927.58 = 419.07 : x
  2. Step 2: Convert to fraction form
    1,284.96/1,927.58 = 419.07/x
  3. Step 3: Cross multiply
    1,284.96x = 1,927.58 × 419.07
  4. Step 4: Simplify right side
    1,284.96x = 807,790.95
  5. Step 5: Solve for x
    x = 807,790.95/1,284.96
  6. Step 6: Final answer
    x = 628.65

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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.