Home / 1,433.96-2,151.26-460.14

Finding the Fourth Proportional to 1,433.96, 2,151.26 and 460.14

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Solution

The fourth proportional to 1,433.96, 2,151.26 and 460.14 is: 690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.96 : 2,151.26 = 460.14 : x
  2. Step 2: Convert to fraction form
    1,433.96/2,151.26 = 460.14/x
  3. Step 3: Cross multiply
    1,433.96x = 2,151.26 × 460.14
  4. Step 4: Simplify right side
    1,433.96x = 989,880.78
  5. Step 5: Solve for x
    x = 989,880.78/1,433.96
  6. Step 6: Final answer
    x = 690.31

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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.