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Finding the Fourth Proportional to 964.22, 1,445.43 and 705.49

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Solution

The fourth proportional to 964.22, 1,445.43 and 705.49 is: 1,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,445.43 = 705.49 : x
  2. Step 2: Convert to fraction form
    964.22/1,445.43 = 705.49/x
  3. Step 3: Cross multiply
    964.22x = 1,445.43 × 705.49
  4. Step 4: Simplify right side
    964.22x = 1,019,735.44
  5. Step 5: Solve for x
    x = 1,019,735.44/964.22
  6. Step 6: Final answer
    x = 1,057.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.