Home / 1,407.15-2,110.06-419.60

Finding the Fourth Proportional to 1,407.15, 2,110.06 and 419.60

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Solution

The fourth proportional to 1,407.15, 2,110.06 and 419.60 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.15 : 2,110.06 = 419.60 : x
  2. Step 2: Convert to fraction form
    1,407.15/2,110.06 = 419.60/x
  3. Step 3: Cross multiply
    1,407.15x = 2,110.06 × 419.60
  4. Step 4: Simplify right side
    1,407.15x = 885,381.18
  5. Step 5: Solve for x
    x = 885,381.18/1,407.15
  6. Step 6: Final answer
    x = 629.20

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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.