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Finding the Fourth Proportional to 682.75, 942.26 and 420.72

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Solution

The fourth proportional to 682.75, 942.26 and 420.72 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 942.26 = 420.72 : x
  2. Step 2: Convert to fraction form
    682.75/942.26 = 420.72/x
  3. Step 3: Cross multiply
    682.75x = 942.26 × 420.72
  4. Step 4: Simplify right side
    682.75x = 396,427.63
  5. Step 5: Solve for x
    x = 396,427.63/682.75
  6. Step 6: Final answer
    x = 580.63

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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.