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Finding the Fourth Proportional to 682.05, 941.34 and 433.29

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Solution

The fourth proportional to 682.05, 941.34 and 433.29 is: 598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 941.34 = 433.29 : x
  2. Step 2: Convert to fraction form
    682.05/941.34 = 433.29/x
  3. Step 3: Cross multiply
    682.05x = 941.34 × 433.29
  4. Step 4: Simplify right side
    682.05x = 407,873.21
  5. Step 5: Solve for x
    x = 407,873.21/682.05
  6. Step 6: Final answer
    x = 598.01

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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.