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Finding the Fourth Proportional to 705.60, 966.44 and 665.72

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Solution

The fourth proportional to 705.60, 966.44 and 665.72 is: 911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 966.44 = 665.72 : x
  2. Step 2: Convert to fraction form
    705.60/966.44 = 665.72/x
  3. Step 3: Cross multiply
    705.60x = 966.44 × 665.72
  4. Step 4: Simplify right side
    705.60x = 643,378.44
  5. Step 5: Solve for x
    x = 643,378.44/705.60
  6. Step 6: Final answer
    x = 911.82

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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.