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Finding the Fourth Proportional to 821.08, 1,231.29 and 359.07

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Solution

The fourth proportional to 821.08, 1,231.29 and 359.07 is: 538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.08 : 1,231.29 = 359.07 : x
  2. Step 2: Convert to fraction form
    821.08/1,231.29 = 359.07/x
  3. Step 3: Cross multiply
    821.08x = 1,231.29 × 359.07
  4. Step 4: Simplify right side
    821.08x = 442,121.61
  5. Step 5: Solve for x
    x = 442,121.61/821.08
  6. Step 6: Final answer
    x = 538.47

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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.