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Finding the Fourth Proportional to 878.26, 1,318.02 and 461.32

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Solution

The fourth proportional to 878.26, 1,318.02 and 461.32 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.26 : 1,318.02 = 461.32 : x
  2. Step 2: Convert to fraction form
    878.26/1,318.02 = 461.32/x
  3. Step 3: Cross multiply
    878.26x = 1,318.02 × 461.32
  4. Step 4: Simplify right side
    878.26x = 608,028.99
  5. Step 5: Solve for x
    x = 608,028.99/878.26
  6. Step 6: Final answer
    x = 692.31

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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.