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Finding the Fourth Proportional to 1,191.78, 1,787.76 and 411.84

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Solution

The fourth proportional to 1,191.78, 1,787.76 and 411.84 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.78 : 1,787.76 = 411.84 : x
  2. Step 2: Convert to fraction form
    1,191.78/1,787.76 = 411.84/x
  3. Step 3: Cross multiply
    1,191.78x = 1,787.76 × 411.84
  4. Step 4: Simplify right side
    1,191.78x = 736,271.08
  5. Step 5: Solve for x
    x = 736,271.08/1,191.78
  6. Step 6: Final answer
    x = 617.79

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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.