Home / 1,433.90-2,150.77-459.92

Finding the Fourth Proportional to 1,433.90, 2,150.77 and 459.92

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Solution

The fourth proportional to 1,433.90, 2,150.77 and 459.92 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.90 : 2,150.77 = 459.92 : x
  2. Step 2: Convert to fraction form
    1,433.90/2,150.77 = 459.92/x
  3. Step 3: Cross multiply
    1,433.90x = 2,150.77 × 459.92
  4. Step 4: Simplify right side
    1,433.90x = 989,182.14
  5. Step 5: Solve for x
    x = 989,182.14/1,433.90
  6. Step 6: Final answer
    x = 689.86

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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.