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Finding the Fourth Proportional to 706.88, 968.36 and 698.98

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Solution

The fourth proportional to 706.88, 968.36 and 698.98 is: 957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 968.36 = 698.98 : x
  2. Step 2: Convert to fraction form
    706.88/968.36 = 698.98/x
  3. Step 3: Cross multiply
    706.88x = 968.36 × 698.98
  4. Step 4: Simplify right side
    706.88x = 676,864.27
  5. Step 5: Solve for x
    x = 676,864.27/706.88
  6. Step 6: Final answer
    x = 957.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.