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Finding the Fourth Proportional to 936.96, 1,403.09 and 643.69

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Solution

The fourth proportional to 936.96, 1,403.09 and 643.69 is: 963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,403.09 = 643.69 : x
  2. Step 2: Convert to fraction form
    936.96/1,403.09 = 643.69/x
  3. Step 3: Cross multiply
    936.96x = 1,403.09 × 643.69
  4. Step 4: Simplify right side
    936.96x = 903,151.78
  5. Step 5: Solve for x
    x = 903,151.78/936.96
  6. Step 6: Final answer
    x = 963.92

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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.