Home / 1,434.14-2,150.34-496.77

Finding the Fourth Proportional to 1,434.14, 2,150.34 and 496.77

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Solution

The fourth proportional to 1,434.14, 2,150.34 and 496.77 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.14 : 2,150.34 = 496.77 : x
  2. Step 2: Convert to fraction form
    1,434.14/2,150.34 = 496.77/x
  3. Step 3: Cross multiply
    1,434.14x = 2,150.34 × 496.77
  4. Step 4: Simplify right side
    1,434.14x = 1,068,231.02
  5. Step 5: Solve for x
    x = 1,068,231.02/1,434.14
  6. Step 6: Final answer
    x = 744.86

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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.