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Finding the Fourth Proportional to 955.50, 1,432.26 and 408.03

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Solution

The fourth proportional to 955.50, 1,432.26 and 408.03 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.50 : 1,432.26 = 408.03 : x
  2. Step 2: Convert to fraction form
    955.50/1,432.26 = 408.03/x
  3. Step 3: Cross multiply
    955.50x = 1,432.26 × 408.03
  4. Step 4: Simplify right side
    955.50x = 584,405.05
  5. Step 5: Solve for x
    x = 584,405.05/955.50
  6. Step 6: Final answer
    x = 611.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.