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Finding the Fourth Proportional to 936.06, 1,403.91 and 319.71

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Solution

The fourth proportional to 936.06, 1,403.91 and 319.71 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.06 : 1,403.91 = 319.71 : x
  2. Step 2: Convert to fraction form
    936.06/1,403.91 = 319.71/x
  3. Step 3: Cross multiply
    936.06x = 1,403.91 × 319.71
  4. Step 4: Simplify right side
    936.06x = 448,844.07
  5. Step 5: Solve for x
    x = 448,844.07/936.06
  6. Step 6: Final answer
    x = 479.50

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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.