Home / 1,406.07-2,108.70-418.84

Finding the Fourth Proportional to 1,406.07, 2,108.70 and 418.84

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Solution

The fourth proportional to 1,406.07, 2,108.70 and 418.84 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.07 : 2,108.70 = 418.84 : x
  2. Step 2: Convert to fraction form
    1,406.07/2,108.70 = 418.84/x
  3. Step 3: Cross multiply
    1,406.07x = 2,108.70 × 418.84
  4. Step 4: Simplify right side
    1,406.07x = 883,202.64
  5. Step 5: Solve for x
    x = 883,202.64/1,406.07
  6. Step 6: Final answer
    x = 628.14

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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.