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Finding the Fourth Proportional to 936.26, 1,292.04 and 522.26

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Solution

The fourth proportional to 936.26, 1,292.04 and 522.26 is: 720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.26 : 1,292.04 = 522.26 : x
  2. Step 2: Convert to fraction form
    936.26/1,292.04 = 522.26/x
  3. Step 3: Cross multiply
    936.26x = 1,292.04 × 522.26
  4. Step 4: Simplify right side
    936.26x = 674,780.81
  5. Step 5: Solve for x
    x = 674,780.81/936.26
  6. Step 6: Final answer
    x = 720.72

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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.