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Finding the Fourth Proportional to 936.43, 1,291.95 and 582.23

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Solution

The fourth proportional to 936.43, 1,291.95 and 582.23 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.43 : 1,291.95 = 582.23 : x
  2. Step 2: Convert to fraction form
    936.43/1,291.95 = 582.23/x
  3. Step 3: Cross multiply
    936.43x = 1,291.95 × 582.23
  4. Step 4: Simplify right side
    936.43x = 752,212.05
  5. Step 5: Solve for x
    x = 752,212.05/936.43
  6. Step 6: Final answer
    x = 803.28

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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.