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Finding the Fourth Proportional to 682.56, 942.72 and 486.72

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Solution

The fourth proportional to 682.56, 942.72 and 486.72 is: 672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 942.72 = 486.72 : x
  2. Step 2: Convert to fraction form
    682.56/942.72 = 486.72/x
  3. Step 3: Cross multiply
    682.56x = 942.72 × 486.72
  4. Step 4: Simplify right side
    682.56x = 458,840.68
  5. Step 5: Solve for x
    x = 458,840.68/682.56
  6. Step 6: Final answer
    x = 672.23

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1.5x scale

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.