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Finding the Fourth Proportional to 794.47, 1,191.70 and 522.28

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Solution

The fourth proportional to 794.47, 1,191.70 and 522.28 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.47 : 1,191.70 = 522.28 : x
  2. Step 2: Convert to fraction form
    794.47/1,191.70 = 522.28/x
  3. Step 3: Cross multiply
    794.47x = 1,191.70 × 522.28
  4. Step 4: Simplify right side
    794.47x = 622,401.08
  5. Step 5: Solve for x
    x = 622,401.08/794.47
  6. Step 6: Final answer
    x = 783.42

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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.