Home / 1,516.21-2,273.91-420.49

Finding the Fourth Proportional to 1,516.21, 2,273.91 and 420.49

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Solution

The fourth proportional to 1,516.21, 2,273.91 and 420.49 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.21 : 2,273.91 = 420.49 : x
  2. Step 2: Convert to fraction form
    1,516.21/2,273.91 = 420.49/x
  3. Step 3: Cross multiply
    1,516.21x = 2,273.91 × 420.49
  4. Step 4: Simplify right side
    1,516.21x = 956,156.42
  5. Step 5: Solve for x
    x = 956,156.42/1,516.21
  6. Step 6: Final answer
    x = 630.62

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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.