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Finding the Fourth Proportional to 706.38, 978.89 and 693.42

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Solution

The fourth proportional to 706.38, 978.89 and 693.42 is: 960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 978.89 = 693.42 : x
  2. Step 2: Convert to fraction form
    706.38/978.89 = 693.42/x
  3. Step 3: Cross multiply
    706.38x = 978.89 × 693.42
  4. Step 4: Simplify right side
    706.38x = 678,778.44
  5. Step 5: Solve for x
    x = 678,778.44/706.38
  6. Step 6: Final answer
    x = 960.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.