Home / 1,516.33-2,274.22-420.67

Finding the Fourth Proportional to 1,516.33, 2,274.22 and 420.67

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Solution

The fourth proportional to 1,516.33, 2,274.22 and 420.67 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.33 : 2,274.22 = 420.67 : x
  2. Step 2: Convert to fraction form
    1,516.33/2,274.22 = 420.67/x
  3. Step 3: Cross multiply
    1,516.33x = 2,274.22 × 420.67
  4. Step 4: Simplify right side
    1,516.33x = 956,696.13
  5. Step 5: Solve for x
    x = 956,696.13/1,516.33
  6. Step 6: Final answer
    x = 630.93

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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.