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Finding the Fourth Proportional to 709.92, 971.88 and 705.12

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Solution

The fourth proportional to 709.92, 971.88 and 705.12 is: 965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 971.88 = 705.12 : x
  2. Step 2: Convert to fraction form
    709.92/971.88 = 705.12/x
  3. Step 3: Cross multiply
    709.92x = 971.88 × 705.12
  4. Step 4: Simplify right side
    709.92x = 685,292.03
  5. Step 5: Solve for x
    x = 685,292.03/709.92
  6. Step 6: Final answer
    x = 965.31

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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.