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Finding the Fourth Proportional to 638.15, 955.72 and 505.95

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Solution

The fourth proportional to 638.15, 955.72 and 505.95 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.15 : 955.72 = 505.95 : x
  2. Step 2: Convert to fraction form
    638.15/955.72 = 505.95/x
  3. Step 3: Cross multiply
    638.15x = 955.72 × 505.95
  4. Step 4: Simplify right side
    638.15x = 483,550.93
  5. Step 5: Solve for x
    x = 483,550.93/638.15
  6. Step 6: Final answer
    x = 757.73

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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.