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Finding the Fourth Proportional to 706.34, 981.47 and 698.73

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Solution

The fourth proportional to 706.34, 981.47 and 698.73 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.34 : 981.47 = 698.73 : x
  2. Step 2: Convert to fraction form
    706.34/981.47 = 698.73/x
  3. Step 3: Cross multiply
    706.34x = 981.47 × 698.73
  4. Step 4: Simplify right side
    706.34x = 685,779.04
  5. Step 5: Solve for x
    x = 685,779.04/706.34
  6. Step 6: Final answer
    x = 970.90

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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.