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Finding the Fourth Proportional to 1,191.64, 1,787.72 and 369.90

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Solution

The fourth proportional to 1,191.64, 1,787.72 and 369.90 is: 554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.64 : 1,787.72 = 369.90 : x
  2. Step 2: Convert to fraction form
    1,191.64/1,787.72 = 369.90/x
  3. Step 3: Cross multiply
    1,191.64x = 1,787.72 × 369.90
  4. Step 4: Simplify right side
    1,191.64x = 661,266.84
  5. Step 5: Solve for x
    x = 661,266.84/1,191.64
  6. Step 6: Final answer
    x = 554.92

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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.