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Finding the Fourth Proportional to 976.18, 1,346.16 and 696.37

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Solution

The fourth proportional to 976.18, 1,346.16 and 696.37 is: 960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.18 : 1,346.16 = 696.37 : x
  2. Step 2: Convert to fraction form
    976.18/1,346.16 = 696.37/x
  3. Step 3: Cross multiply
    976.18x = 1,346.16 × 696.37
  4. Step 4: Simplify right side
    976.18x = 937,425.44
  5. Step 5: Solve for x
    x = 937,425.44/976.18
  6. Step 6: Final answer
    x = 960.30

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1.5x scale

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.