Home / 1,406.97-2,110.66-433.15

Finding the Fourth Proportional to 1,406.97, 2,110.66 and 433.15

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Solution

The fourth proportional to 1,406.97, 2,110.66 and 433.15 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.97 : 2,110.66 = 433.15 : x
  2. Step 2: Convert to fraction form
    1,406.97/2,110.66 = 433.15/x
  3. Step 3: Cross multiply
    1,406.97x = 2,110.66 × 433.15
  4. Step 4: Simplify right side
    1,406.97x = 914,226.02
  5. Step 5: Solve for x
    x = 914,226.02/1,406.97
  6. Step 6: Final answer
    x = 649.78

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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.