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Finding the Fourth Proportional to 1,191.09, 1,787.09 and 497.57

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Solution

The fourth proportional to 1,191.09, 1,787.09 and 497.57 is: 746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.09 : 1,787.09 = 497.57 : x
  2. Step 2: Convert to fraction form
    1,191.09/1,787.09 = 497.57/x
  3. Step 3: Cross multiply
    1,191.09x = 1,787.09 × 497.57
  4. Step 4: Simplify right side
    1,191.09x = 889,190.95
  5. Step 5: Solve for x
    x = 889,190.95/1,191.09
  6. Step 6: Final answer
    x = 746.54

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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.