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Finding the Fourth Proportional to 811.26, 1,215.27 and 522.90

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Solution

The fourth proportional to 811.26, 1,215.27 and 522.90 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.26 : 1,215.27 = 522.90 : x
  2. Step 2: Convert to fraction form
    811.26/1,215.27 = 522.90/x
  3. Step 3: Cross multiply
    811.26x = 1,215.27 × 522.90
  4. Step 4: Simplify right side
    811.26x = 635,464.68
  5. Step 5: Solve for x
    x = 635,464.68/811.26
  6. Step 6: Final answer
    x = 783.31

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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.