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Finding the Fourth Proportional to 788.40, 1,181.56 and 325.65

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Solution

The fourth proportional to 788.40, 1,181.56 and 325.65 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,181.56 = 325.65 : x
  2. Step 2: Convert to fraction form
    788.40/1,181.56 = 325.65/x
  3. Step 3: Cross multiply
    788.40x = 1,181.56 × 325.65
  4. Step 4: Simplify right side
    788.40x = 384,775.01
  5. Step 5: Solve for x
    x = 384,775.01/788.40
  6. Step 6: Final answer
    x = 488.05

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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.