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Finding the Fourth Proportional to 794.30, 1,192.26 and 551.30

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Solution

The fourth proportional to 794.30, 1,192.26 and 551.30 is: 827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,192.26 = 551.30 : x
  2. Step 2: Convert to fraction form
    794.30/1,192.26 = 551.30/x
  3. Step 3: Cross multiply
    794.30x = 1,192.26 × 551.30
  4. Step 4: Simplify right side
    794.30x = 657,292.94
  5. Step 5: Solve for x
    x = 657,292.94/794.30
  6. Step 6: Final answer
    x = 827.51

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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.