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Finding the Fourth Proportional to 821.46, 1,231.12 and 359.16

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Solution

The fourth proportional to 821.46, 1,231.12 and 359.16 is: 538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.46 : 1,231.12 = 359.16 : x
  2. Step 2: Convert to fraction form
    821.46/1,231.12 = 359.16/x
  3. Step 3: Cross multiply
    821.46x = 1,231.12 × 359.16
  4. Step 4: Simplify right side
    821.46x = 442,169.06
  5. Step 5: Solve for x
    x = 442,169.06/821.46
  6. Step 6: Final answer
    x = 538.27

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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.