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Finding the Fourth Proportional to 936.42, 1,403.64 and 319.90

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Solution

The fourth proportional to 936.42, 1,403.64 and 319.90 is: 479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.42 : 1,403.64 = 319.90 : x
  2. Step 2: Convert to fraction form
    936.42/1,403.64 = 319.90/x
  3. Step 3: Cross multiply
    936.42x = 1,403.64 × 319.90
  4. Step 4: Simplify right side
    936.42x = 449,024.44
  5. Step 5: Solve for x
    x = 449,024.44/936.42
  6. Step 6: Final answer
    x = 479.51

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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.