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Finding the Fourth Proportional to 821.42, 1,231.92 and 359.32

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Solution

The fourth proportional to 821.42, 1,231.92 and 359.32 is: 538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,231.92 = 359.32 : x
  2. Step 2: Convert to fraction form
    821.42/1,231.92 = 359.32/x
  3. Step 3: Cross multiply
    821.42x = 1,231.92 × 359.32
  4. Step 4: Simplify right side
    821.42x = 442,653.49
  5. Step 5: Solve for x
    x = 442,653.49/821.42
  6. Step 6: Final answer
    x = 538.89

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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.