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Finding the Fourth Proportional to 878.10, 1,316.88 and 300.84

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Solution

The fourth proportional to 878.10, 1,316.88 and 300.84 is: 451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.10 : 1,316.88 = 300.84 : x
  2. Step 2: Convert to fraction form
    878.10/1,316.88 = 300.84/x
  3. Step 3: Cross multiply
    878.10x = 1,316.88 × 300.84
  4. Step 4: Simplify right side
    878.10x = 396,170.18
  5. Step 5: Solve for x
    x = 396,170.18/878.10
  6. Step 6: Final answer
    x = 451.17

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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.