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Finding the Fourth Proportional to 976.67, 1,345.86 and 696.41

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Solution

The fourth proportional to 976.67, 1,345.86 and 696.41 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.67 : 1,345.86 = 696.41 : x
  2. Step 2: Convert to fraction form
    976.67/1,345.86 = 696.41/x
  3. Step 3: Cross multiply
    976.67x = 1,345.86 × 696.41
  4. Step 4: Simplify right side
    976.67x = 937,273.73
  5. Step 5: Solve for x
    x = 937,273.73/976.67
  6. Step 6: Final answer
    x = 959.66

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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.