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Finding the Fourth Proportional to 1,191.47, 1,787.21 and 489.06

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Solution

The fourth proportional to 1,191.47, 1,787.21 and 489.06 is: 733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.47 : 1,787.21 = 489.06 : x
  2. Step 2: Convert to fraction form
    1,191.47/1,787.21 = 489.06/x
  3. Step 3: Cross multiply
    1,191.47x = 1,787.21 × 489.06
  4. Step 4: Simplify right side
    1,191.47x = 874,060.85
  5. Step 5: Solve for x
    x = 874,060.85/1,191.47
  6. Step 6: Final answer
    x = 733.60

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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.