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Finding the Fourth Proportional to 682.80, 942.48 and 446.91

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Solution

The fourth proportional to 682.80, 942.48 and 446.91 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 942.48 = 446.91 : x
  2. Step 2: Convert to fraction form
    682.80/942.48 = 446.91/x
  3. Step 3: Cross multiply
    682.80x = 942.48 × 446.91
  4. Step 4: Simplify right side
    682.80x = 421,203.74
  5. Step 5: Solve for x
    x = 421,203.74/682.80
  6. Step 6: Final answer
    x = 616.88

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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.