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Finding the Fourth Proportional to 682.95, 943.10 and 434.34

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Solution

The fourth proportional to 682.95, 943.10 and 434.34 is: 599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 943.10 = 434.34 : x
  2. Step 2: Convert to fraction form
    682.95/943.10 = 434.34/x
  3. Step 3: Cross multiply
    682.95x = 943.10 × 434.34
  4. Step 4: Simplify right side
    682.95x = 409,623.88
  5. Step 5: Solve for x
    x = 409,623.88/682.95
  6. Step 6: Final answer
    x = 599.79

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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.