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Finding the Fourth Proportional to 822.59, 1,232.89 and 383.25

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Solution

The fourth proportional to 822.59, 1,232.89 and 383.25 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.59 : 1,232.89 = 383.25 : x
  2. Step 2: Convert to fraction form
    822.59/1,232.89 = 383.25/x
  3. Step 3: Cross multiply
    822.59x = 1,232.89 × 383.25
  4. Step 4: Simplify right side
    822.59x = 472,501.82
  5. Step 5: Solve for x
    x = 472,501.82/822.59
  6. Step 6: Final answer
    x = 574.41

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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.