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Finding the Fourth Proportional to 873.98, 1,311.12 and 326.15

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Solution

The fourth proportional to 873.98, 1,311.12 and 326.15 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.98 : 1,311.12 = 326.15 : x
  2. Step 2: Convert to fraction form
    873.98/1,311.12 = 326.15/x
  3. Step 3: Cross multiply
    873.98x = 1,311.12 × 326.15
  4. Step 4: Simplify right side
    873.98x = 427,615.23
  5. Step 5: Solve for x
    x = 427,615.23/873.98
  6. Step 6: Final answer
    x = 489.28

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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.