Home / 1,113.70-1,669.64-419.97

Finding the Fourth Proportional to 1,113.70, 1,669.64 and 419.97

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Solution

The fourth proportional to 1,113.70, 1,669.64 and 419.97 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.70 : 1,669.64 = 419.97 : x
  2. Step 2: Convert to fraction form
    1,113.70/1,669.64 = 419.97/x
  3. Step 3: Cross multiply
    1,113.70x = 1,669.64 × 419.97
  4. Step 4: Simplify right side
    1,113.70x = 701,201.71
  5. Step 5: Solve for x
    x = 701,201.71/1,113.70
  6. Step 6: Final answer
    x = 629.61

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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.