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Finding the Fourth Proportional to 820.79, 1,132.01 and 696.86

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Solution

The fourth proportional to 820.79, 1,132.01 and 696.86 is: 961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.79 : 1,132.01 = 696.86 : x
  2. Step 2: Convert to fraction form
    820.79/1,132.01 = 696.86/x
  3. Step 3: Cross multiply
    820.79x = 1,132.01 × 696.86
  4. Step 4: Simplify right side
    820.79x = 788,846.83
  5. Step 5: Solve for x
    x = 788,846.83/820.79
  6. Step 6: Final answer
    x = 961.09

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