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Finding the Fourth Proportional to 821.12, 1,132.04 and 795.64

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Solution

The fourth proportional to 821.12, 1,132.04 and 795.64 is: 1,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.12 : 1,132.04 = 795.64 : x
  2. Step 2: Convert to fraction form
    821.12/1,132.04 = 795.64/x
  3. Step 3: Cross multiply
    821.12x = 1,132.04 × 795.64
  4. Step 4: Simplify right side
    821.12x = 900,696.31
  5. Step 5: Solve for x
    x = 900,696.31/821.12
  6. Step 6: Final answer
    x = 1,096.91

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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.