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Finding the Fourth Proportional to 1,311.53, 1,968.31 and 489.85

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Solution

The fourth proportional to 1,311.53, 1,968.31 and 489.85 is: 735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.53 : 1,968.31 = 489.85 : x
  2. Step 2: Convert to fraction form
    1,311.53/1,968.31 = 489.85/x
  3. Step 3: Cross multiply
    1,311.53x = 1,968.31 × 489.85
  4. Step 4: Simplify right side
    1,311.53x = 964,170.51
  5. Step 5: Solve for x
    x = 964,170.51/1,311.53
  6. Step 6: Final answer
    x = 735.15

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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.