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Finding the Fourth Proportional to 936.50, 1,292.59 and 582.46

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Solution

The fourth proportional to 936.50, 1,292.59 and 582.46 is: 803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,292.59 = 582.46 : x
  2. Step 2: Convert to fraction form
    936.50/1,292.59 = 582.46/x
  3. Step 3: Cross multiply
    936.50x = 1,292.59 × 582.46
  4. Step 4: Simplify right side
    936.50x = 752,879.47
  5. Step 5: Solve for x
    x = 752,879.47/936.50
  6. Step 6: Final answer
    x = 803.93

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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.