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Finding the Fourth Proportional to 693.76, 957.24 and 398.98

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Solution

The fourth proportional to 693.76, 957.24 and 398.98 is: 550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 957.24 = 398.98 : x
  2. Step 2: Convert to fraction form
    693.76/957.24 = 398.98/x
  3. Step 3: Cross multiply
    693.76x = 957.24 × 398.98
  4. Step 4: Simplify right side
    693.76x = 381,919.62
  5. Step 5: Solve for x
    x = 381,919.62/693.76
  6. Step 6: Final answer
    x = 550.51

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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.