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Finding the Fourth Proportional to 682.03, 941.22 and 433.15

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Solution

The fourth proportional to 682.03, 941.22 and 433.15 is: 597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 941.22 = 433.15 : x
  2. Step 2: Convert to fraction form
    682.03/941.22 = 433.15/x
  3. Step 3: Cross multiply
    682.03x = 941.22 × 433.15
  4. Step 4: Simplify right side
    682.03x = 407,684.74
  5. Step 5: Solve for x
    x = 407,684.74/682.03
  6. Step 6: Final answer
    x = 597.76

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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.