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Finding the Fourth Proportional to 816.79, 1,127.24 and 522.31

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Solution

The fourth proportional to 816.79, 1,127.24 and 522.31 is: 720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.79 : 1,127.24 = 522.31 : x
  2. Step 2: Convert to fraction form
    816.79/1,127.24 = 522.31/x
  3. Step 3: Cross multiply
    816.79x = 1,127.24 × 522.31
  4. Step 4: Simplify right side
    816.79x = 588,768.72
  5. Step 5: Solve for x
    x = 588,768.72/816.79
  6. Step 6: Final answer
    x = 720.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.