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Finding the Fourth Proportional to 706.92, 970.23 and 648.60

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Solution

The fourth proportional to 706.92, 970.23 and 648.60 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 970.23 = 648.60 : x
  2. Step 2: Convert to fraction form
    706.92/970.23 = 648.60/x
  3. Step 3: Cross multiply
    706.92x = 970.23 × 648.60
  4. Step 4: Simplify right side
    706.92x = 629,291.18
  5. Step 5: Solve for x
    x = 629,291.18/706.92
  6. Step 6: Final answer
    x = 890.19

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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.