Home / 1,406.02-2,108.77-418.81

Finding the Fourth Proportional to 1,406.02, 2,108.77 and 418.81

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Solution

The fourth proportional to 1,406.02, 2,108.77 and 418.81 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.02 : 2,108.77 = 418.81 : x
  2. Step 2: Convert to fraction form
    1,406.02/2,108.77 = 418.81/x
  3. Step 3: Cross multiply
    1,406.02x = 2,108.77 × 418.81
  4. Step 4: Simplify right side
    1,406.02x = 883,173.96
  5. Step 5: Solve for x
    x = 883,173.96/1,406.02
  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.