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Finding the Fourth Proportional to 788.35, 1,181.86 and 325.84

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Solution

The fourth proportional to 788.35, 1,181.86 and 325.84 is: 488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.35 : 1,181.86 = 325.84 : x
  2. Step 2: Convert to fraction form
    788.35/1,181.86 = 325.84/x
  3. Step 3: Cross multiply
    788.35x = 1,181.86 × 325.84
  4. Step 4: Simplify right side
    788.35x = 385,095.63
  5. Step 5: Solve for x
    x = 385,095.63/788.35
  6. Step 6: Final answer
    x = 488.48

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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.