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Finding the Fourth Proportional to 693.67, 957.36 and 398.95

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Solution

The fourth proportional to 693.67, 957.36 and 398.95 is: 550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.67 : 957.36 = 398.95 : x
  2. Step 2: Convert to fraction form
    693.67/957.36 = 398.95/x
  3. Step 3: Cross multiply
    693.67x = 957.36 × 398.95
  4. Step 4: Simplify right side
    693.67x = 381,938.77
  5. Step 5: Solve for x
    x = 381,938.77/693.67
  6. Step 6: Final answer
    x = 550.61

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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.