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Finding the Fourth Proportional to 682.40, 941.50 and 398.76

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Solution

The fourth proportional to 682.40, 941.50 and 398.76 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 941.50 = 398.76 : x
  2. Step 2: Convert to fraction form
    682.40/941.50 = 398.76/x
  3. Step 3: Cross multiply
    682.40x = 941.50 × 398.76
  4. Step 4: Simplify right side
    682.40x = 375,432.54
  5. Step 5: Solve for x
    x = 375,432.54/682.40
  6. Step 6: Final answer
    x = 550.16

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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.