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Finding the Fourth Proportional to 1,311.96, 1,967.58 and 489.78

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Solution

The fourth proportional to 1,311.96, 1,967.58 and 489.78 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.96 : 1,967.58 = 489.78 : x
  2. Step 2: Convert to fraction form
    1,311.96/1,967.58 = 489.78/x
  3. Step 3: Cross multiply
    1,311.96x = 1,967.58 × 489.78
  4. Step 4: Simplify right side
    1,311.96x = 963,681.33
  5. Step 5: Solve for x
    x = 963,681.33/1,311.96
  6. Step 6: Final answer
    x = 734.54

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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.