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Finding the Fourth Proportional to 821.60, 1,232.40 and 797.60

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Solution

The fourth proportional to 821.60, 1,232.40 and 797.60 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.60 : 1,232.40 = 797.60 : x
  2. Step 2: Convert to fraction form
    821.60/1,232.40 = 797.60/x
  3. Step 3: Cross multiply
    821.60x = 1,232.40 × 797.60
  4. Step 4: Simplify right side
    821.60x = 982,962.24
  5. Step 5: Solve for x
    x = 982,962.24/821.60
  6. Step 6: Final answer
    x = 1,196.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.