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Finding the Fourth Proportional to 682.36, 942.04 and 449.89

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Solution

The fourth proportional to 682.36, 942.04 and 449.89 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 942.04 = 449.89 : x
  2. Step 2: Convert to fraction form
    682.36/942.04 = 449.89/x
  3. Step 3: Cross multiply
    682.36x = 942.04 × 449.89
  4. Step 4: Simplify right side
    682.36x = 423,809.67
  5. Step 5: Solve for x
    x = 423,809.67/682.36
  6. Step 6: Final answer
    x = 621.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.