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Finding the Fourth Proportional to 811.38, 1,215.24 and 537.09

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Solution

The fourth proportional to 811.38, 1,215.24 and 537.09 is: 804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.38 : 1,215.24 = 537.09 : x
  2. Step 2: Convert to fraction form
    811.38/1,215.24 = 537.09/x
  3. Step 3: Cross multiply
    811.38x = 1,215.24 × 537.09
  4. Step 4: Simplify right side
    811.38x = 652,693.25
  5. Step 5: Solve for x
    x = 652,693.25/811.38
  6. Step 6: Final answer
    x = 804.42

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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.