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Finding the Fourth Proportional to 955.98, 1,432.68 and 408.68

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Solution

The fourth proportional to 955.98, 1,432.68 and 408.68 is: 612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.98 : 1,432.68 = 408.68 : x
  2. Step 2: Convert to fraction form
    955.98/1,432.68 = 408.68/x
  3. Step 3: Cross multiply
    955.98x = 1,432.68 × 408.68
  4. Step 4: Simplify right side
    955.98x = 585,507.66
  5. Step 5: Solve for x
    x = 585,507.66/955.98
  6. Step 6: Final answer
    x = 612.47

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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.