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Finding the Fourth Proportional to 682.15, 940.76 and 446

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Solution

The fourth proportional to 682.15, 940.76 and 446 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.15 : 940.76 = 446 : x
  2. Step 2: Convert to fraction form
    682.15/940.76 = 446/x
  3. Step 3: Cross multiply
    682.15x = 940.76 × 446
  4. Step 4: Simplify right side
    682.15x = 419,578.96
  5. Step 5: Solve for x
    x = 419,578.96/682.15
  6. Step 6: Final answer
    x = 615.08

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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.