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Finding the Fourth Proportional to 693.20, 956.81 and 398.50

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Solution

The fourth proportional to 693.20, 956.81 and 398.50 is: 550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 956.81 = 398.50 : x
  2. Step 2: Convert to fraction form
    693.20/956.81 = 398.50/x
  3. Step 3: Cross multiply
    693.20x = 956.81 × 398.50
  4. Step 4: Simplify right side
    693.20x = 381,288.79
  5. Step 5: Solve for x
    x = 381,288.79/693.20
  6. Step 6: Final answer
    x = 550.04

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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.