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Finding the Fourth Proportional to 705.35, 970.97 and 610.80

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Solution

The fourth proportional to 705.35, 970.97 and 610.80 is: 840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.35 : 970.97 = 610.80 : x
  2. Step 2: Convert to fraction form
    705.35/970.97 = 610.80/x
  3. Step 3: Cross multiply
    705.35x = 970.97 × 610.80
  4. Step 4: Simplify right side
    705.35x = 593,065.42
  5. Step 5: Solve for x
    x = 593,065.42/705.35
  6. Step 6: Final answer
    x = 840.82

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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.