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Finding the Fourth Proportional to 1,516.82, 2,274.78 and 420.92

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Solution

The fourth proportional to 1,516.82, 2,274.78 and 420.92 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.82 : 2,274.78 = 420.92 : x
  2. Step 2: Convert to fraction form
    1,516.82/2,274.78 = 420.92/x
  3. Step 3: Cross multiply
    1,516.82x = 2,274.78 × 420.92
  4. Step 4: Simplify right side
    1,516.82x = 957,500.40
  5. Step 5: Solve for x
    x = 957,500.40/1,516.82
  6. Step 6: Final answer
    x = 631.26

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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.