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Finding the Fourth Proportional to 682.93, 943.11 and 462.73

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Solution

The fourth proportional to 682.93, 943.11 and 462.73 is: 639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.93 : 943.11 = 462.73 : x
  2. Step 2: Convert to fraction form
    682.93/943.11 = 462.73/x
  3. Step 3: Cross multiply
    682.93x = 943.11 × 462.73
  4. Step 4: Simplify right side
    682.93x = 436,405.29
  5. Step 5: Solve for x
    x = 436,405.29/682.93
  6. Step 6: Final answer
    x = 639.02

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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.