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Finding the Fourth Proportional to 705.89, 1,057.43 and 648.48

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Solution

The fourth proportional to 705.89, 1,057.43 and 648.48 is: 971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 1,057.43 = 648.48 : x
  2. Step 2: Convert to fraction form
    705.89/1,057.43 = 648.48/x
  3. Step 3: Cross multiply
    705.89x = 1,057.43 × 648.48
  4. Step 4: Simplify right side
    705.89x = 685,718.96
  5. Step 5: Solve for x
    x = 685,718.96/705.89
  6. Step 6: Final answer
    x = 971.42

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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.