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Finding the Fourth Proportional to 878.70, 1,318.14 and 301.50

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Solution

The fourth proportional to 878.70, 1,318.14 and 301.50 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.70 : 1,318.14 = 301.50 : x
  2. Step 2: Convert to fraction form
    878.70/1,318.14 = 301.50/x
  3. Step 3: Cross multiply
    878.70x = 1,318.14 × 301.50
  4. Step 4: Simplify right side
    878.70x = 397,419.21
  5. Step 5: Solve for x
    x = 397,419.21/878.70
  6. Step 6: Final answer
    x = 452.28

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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.