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Finding the Fourth Proportional to 682.43, 942.03 and 486.20

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Solution

The fourth proportional to 682.43, 942.03 and 486.20 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.43 : 942.03 = 486.20 : x
  2. Step 2: Convert to fraction form
    682.43/942.03 = 486.20/x
  3. Step 3: Cross multiply
    682.43x = 942.03 × 486.20
  4. Step 4: Simplify right side
    682.43x = 458,017.34
  5. Step 5: Solve for x
    x = 458,017.34/682.43
  6. Step 6: Final answer
    x = 671.16

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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.