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Finding the Fourth Proportional to 936, 1,403.82 and 350.96

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Solution

The fourth proportional to 936, 1,403.82 and 350.96 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    936 : 1,403.82 = 350.96 : x
  2. Step 2: Convert to fraction form
    936/1,403.82 = 350.96/x
  3. Step 3: Cross multiply
    936x = 1,403.82 × 350.96
  4. Step 4: Simplify right side
    936x = 492,677.65
  5. Step 5: Solve for x
    x = 492,677.65/936
  6. Step 6: Final answer
    x = 526.37

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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.