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Finding the Fourth Proportional to 693.95, 957.66 and 379.22

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Solution

The fourth proportional to 693.95, 957.66 and 379.22 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.95 : 957.66 = 379.22 : x
  2. Step 2: Convert to fraction form
    693.95/957.66 = 379.22/x
  3. Step 3: Cross multiply
    693.95x = 957.66 × 379.22
  4. Step 4: Simplify right side
    693.95x = 363,161.93
  5. Step 5: Solve for x
    x = 363,161.93/693.95
  6. Step 6: Final answer
    x = 523.33

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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.