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Finding the Fourth Proportional to 682.28, 941.19 and 433.17

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Solution

The fourth proportional to 682.28, 941.19 and 433.17 is: 597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.28 : 941.19 = 433.17 : x
  2. Step 2: Convert to fraction form
    682.28/941.19 = 433.17/x
  3. Step 3: Cross multiply
    682.28x = 941.19 × 433.17
  4. Step 4: Simplify right side
    682.28x = 407,695.27
  5. Step 5: Solve for x
    x = 407,695.27/682.28
  6. Step 6: Final answer
    x = 597.55

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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.