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Finding the Fourth Proportional to 936.95, 1,404.83 and 381.41

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Solution

The fourth proportional to 936.95, 1,404.83 and 381.41 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.95 : 1,404.83 = 381.41 : x
  2. Step 2: Convert to fraction form
    936.95/1,404.83 = 381.41/x
  3. Step 3: Cross multiply
    936.95x = 1,404.83 × 381.41
  4. Step 4: Simplify right side
    936.95x = 535,807.28
  5. Step 5: Solve for x
    x = 535,807.28/936.95
  6. Step 6: Final answer
    x = 571.87

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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.