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Finding the Fourth Proportional to 874.12, 1,311.74 and 489.64

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Solution

The fourth proportional to 874.12, 1,311.74 and 489.64 is: 734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,311.74 = 489.64 : x
  2. Step 2: Convert to fraction form
    874.12/1,311.74 = 489.64/x
  3. Step 3: Cross multiply
    874.12x = 1,311.74 × 489.64
  4. Step 4: Simplify right side
    874.12x = 642,280.37
  5. Step 5: Solve for x
    x = 642,280.37/874.12
  6. Step 6: Final answer
    x = 734.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.