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Finding the Fourth Proportional to 682.56, 942.28 and 461.64

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Solution

The fourth proportional to 682.56, 942.28 and 461.64 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 942.28 = 461.64 : x
  2. Step 2: Convert to fraction form
    682.56/942.28 = 461.64/x
  3. Step 3: Cross multiply
    682.56x = 942.28 × 461.64
  4. Step 4: Simplify right side
    682.56x = 434,994.14
  5. Step 5: Solve for x
    x = 434,994.14/682.56
  6. Step 6: Final answer
    x = 637.30

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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.