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Finding the Fourth Proportional to 822.78, 1,232.80 and 578.79

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Solution

The fourth proportional to 822.78, 1,232.80 and 578.79 is: 867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,232.80 = 578.79 : x
  2. Step 2: Convert to fraction form
    822.78/1,232.80 = 578.79/x
  3. Step 3: Cross multiply
    822.78x = 1,232.80 × 578.79
  4. Step 4: Simplify right side
    822.78x = 713,533.04
  5. Step 5: Solve for x
    x = 713,533.04/822.78
  6. Step 6: Final answer
    x = 867.22

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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.