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Finding the Fourth Proportional to 705.43, 971.35 and 625.60

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Solution

The fourth proportional to 705.43, 971.35 and 625.60 is: 861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.43 : 971.35 = 625.60 : x
  2. Step 2: Convert to fraction form
    705.43/971.35 = 625.60/x
  3. Step 3: Cross multiply
    705.43x = 971.35 × 625.60
  4. Step 4: Simplify right side
    705.43x = 607,676.56
  5. Step 5: Solve for x
    x = 607,676.56/705.43
  6. Step 6: Final answer
    x = 861.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.