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Finding the Fourth Proportional to 682.02, 942.12 and 485.10

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Solution

The fourth proportional to 682.02, 942.12 and 485.10 is: 670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 942.12 = 485.10 : x
  2. Step 2: Convert to fraction form
    682.02/942.12 = 485.10/x
  3. Step 3: Cross multiply
    682.02x = 942.12 × 485.10
  4. Step 4: Simplify right side
    682.02x = 457,022.41
  5. Step 5: Solve for x
    x = 457,022.41/682.02
  6. Step 6: Final answer
    x = 670.10

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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.