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Finding the Fourth Proportional to 682.63, 941.94 and 433.51

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Solution

The fourth proportional to 682.63, 941.94 and 433.51 is: 598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.63 : 941.94 = 433.51 : x
  2. Step 2: Convert to fraction form
    682.63/941.94 = 433.51/x
  3. Step 3: Cross multiply
    682.63x = 941.94 × 433.51
  4. Step 4: Simplify right side
    682.63x = 408,340.41
  5. Step 5: Solve for x
    x = 408,340.41/682.63
  6. Step 6: Final answer
    x = 598.19

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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.