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Finding the Fourth Proportional to 610.56, 919.42 and 449.36

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Solution

The fourth proportional to 610.56, 919.42 and 449.36 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 919.42 = 449.36 : x
  2. Step 2: Convert to fraction form
    610.56/919.42 = 449.36/x
  3. Step 3: Cross multiply
    610.56x = 919.42 × 449.36
  4. Step 4: Simplify right side
    610.56x = 413,150.57
  5. Step 5: Solve for x
    x = 413,150.57/610.56
  6. Step 6: Final answer
    x = 676.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.