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Finding the Fourth Proportional to 1,429.41, 2,144.78 and 505.67

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Solution

The fourth proportional to 1,429.41, 2,144.78 and 505.67 is: 758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 2,144.78 = 505.67 : x
  2. Step 2: Convert to fraction form
    1,429.41/2,144.78 = 505.67/x
  3. Step 3: Cross multiply
    1,429.41x = 2,144.78 × 505.67
  4. Step 4: Simplify right side
    1,429.41x = 1,084,541.44
  5. Step 5: Solve for x
    x = 1,084,541.44/1,429.41
  6. Step 6: Final answer
    x = 758.73

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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.