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Finding the Fourth Proportional to 936.34, 1,291.63 and 582.32

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Solution

The fourth proportional to 936.34, 1,291.63 and 582.32 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.34 : 1,291.63 = 582.32 : x
  2. Step 2: Convert to fraction form
    936.34/1,291.63 = 582.32/x
  3. Step 3: Cross multiply
    936.34x = 1,291.63 × 582.32
  4. Step 4: Simplify right side
    936.34x = 752,141.98
  5. Step 5: Solve for x
    x = 752,141.98/936.34
  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.