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Finding the Fourth Proportional to 1,541.72, 2,313.09 and 762.28

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Solution

The fourth proportional to 1,541.72, 2,313.09 and 762.28 is: 1,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.72 : 2,313.09 = 762.28 : x
  2. Step 2: Convert to fraction form
    1,541.72/2,313.09 = 762.28/x
  3. Step 3: Cross multiply
    1,541.72x = 2,313.09 × 762.28
  4. Step 4: Simplify right side
    1,541.72x = 1,763,222.25
  5. Step 5: Solve for x
    x = 1,763,222.25/1,541.72
  6. Step 6: Final answer
    x = 1,143.67

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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.