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Finding the Fourth Proportional to 682.54, 942.23 and 433.98

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Solution

The fourth proportional to 682.54, 942.23 and 433.98 is: 599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 942.23 = 433.98 : x
  2. Step 2: Convert to fraction form
    682.54/942.23 = 433.98/x
  3. Step 3: Cross multiply
    682.54x = 942.23 × 433.98
  4. Step 4: Simplify right side
    682.54x = 408,908.98
  5. Step 5: Solve for x
    x = 408,908.98/682.54
  6. Step 6: Final answer
    x = 599.10

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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.