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Finding the Fourth Proportional to 682.57, 941.56 and 433.45

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Solution

The fourth proportional to 682.57, 941.56 and 433.45 is: 597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.57 : 941.56 = 433.45 : x
  2. Step 2: Convert to fraction form
    682.57/941.56 = 433.45/x
  3. Step 3: Cross multiply
    682.57x = 941.56 × 433.45
  4. Step 4: Simplify right side
    682.57x = 408,119.18
  5. Step 5: Solve for x
    x = 408,119.18/682.57
  6. Step 6: Final answer
    x = 597.92

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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.