Home / 1,407.12-2,110.38-419.80

Finding the Fourth Proportional to 1,407.12, 2,110.38 and 419.80

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Solution

The fourth proportional to 1,407.12, 2,110.38 and 419.80 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.12 : 2,110.38 = 419.80 : x
  2. Step 2: Convert to fraction form
    1,407.12/2,110.38 = 419.80/x
  3. Step 3: Cross multiply
    1,407.12x = 2,110.38 × 419.80
  4. Step 4: Simplify right side
    1,407.12x = 885,937.52
  5. Step 5: Solve for x
    x = 885,937.52/1,407.12
  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.