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Finding the Fourth Proportional to 435.90, 650.88 and 343.56

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Solution

The fourth proportional to 435.90, 650.88 and 343.56 is: 513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 650.88 = 343.56 : x
  2. Step 2: Convert to fraction form
    435.90/650.88 = 343.56/x
  3. Step 3: Cross multiply
    435.90x = 650.88 × 343.56
  4. Step 4: Simplify right side
    435.90x = 223,616.33
  5. Step 5: Solve for x
    x = 223,616.33/435.90
  6. Step 6: Final answer
    x = 513.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.