Home / 1,516.14-2,274.24-420.54

Finding the Fourth Proportional to 1,516.14, 2,274.24 and 420.54

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Solution

The fourth proportional to 1,516.14, 2,274.24 and 420.54 is: 630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.14 : 2,274.24 = 420.54 : x
  2. Step 2: Convert to fraction form
    1,516.14/2,274.24 = 420.54/x
  3. Step 3: Cross multiply
    1,516.14x = 2,274.24 × 420.54
  4. Step 4: Simplify right side
    1,516.14x = 956,408.89
  5. Step 5: Solve for x
    x = 956,408.89/1,516.14
  6. Step 6: Final answer
    x = 630.82

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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.