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Finding the Fourth Proportional to 1,191.78, 1,787.46 and 325.89

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Solution

The fourth proportional to 1,191.78, 1,787.46 and 325.89 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.78 : 1,787.46 = 325.89 : x
  2. Step 2: Convert to fraction form
    1,191.78/1,787.46 = 325.89/x
  3. Step 3: Cross multiply
    1,191.78x = 1,787.46 × 325.89
  4. Step 4: Simplify right side
    1,191.78x = 582,515.34
  5. Step 5: Solve for x
    x = 582,515.34/1,191.78
  6. Step 6: Final answer
    x = 488.78

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1.5x scale

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.