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Finding the Fourth Proportional to 705.60, 976.32 and 613.80

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Solution

The fourth proportional to 705.60, 976.32 and 613.80 is: 849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 976.32 = 613.80 : x
  2. Step 2: Convert to fraction form
    705.60/976.32 = 613.80/x
  3. Step 3: Cross multiply
    705.60x = 976.32 × 613.80
  4. Step 4: Simplify right side
    705.60x = 599,265.22
  5. Step 5: Solve for x
    x = 599,265.22/705.60
  6. Step 6: Final answer
    x = 849.30

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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.