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Finding the Fourth Proportional to 821.28, 1,232.28 and 578.64

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Solution

The fourth proportional to 821.28, 1,232.28 and 578.64 is: 868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.28 : 1,232.28 = 578.64 : x
  2. Step 2: Convert to fraction form
    821.28/1,232.28 = 578.64/x
  3. Step 3: Cross multiply
    821.28x = 1,232.28 × 578.64
  4. Step 4: Simplify right side
    821.28x = 713,046.50
  5. Step 5: Solve for x
    x = 713,046.50/821.28
  6. Step 6: Final answer
    x = 868.21

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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.