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Finding the Fourth Proportional to 682.30, 942.06 and 434.26

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Solution

The fourth proportional to 682.30, 942.06 and 434.26 is: 599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.30 : 942.06 = 434.26 : x
  2. Step 2: Convert to fraction form
    682.30/942.06 = 434.26/x
  3. Step 3: Cross multiply
    682.30x = 942.06 × 434.26
  4. Step 4: Simplify right side
    682.30x = 409,098.98
  5. Step 5: Solve for x
    x = 409,098.98/682.30
  6. Step 6: Final answer
    x = 599.59

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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.