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Finding the Fourth Proportional to 878.03, 1,314.24 and 466.55

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Solution

The fourth proportional to 878.03, 1,314.24 and 466.55 is: 698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.03 : 1,314.24 = 466.55 : x
  2. Step 2: Convert to fraction form
    878.03/1,314.24 = 466.55/x
  3. Step 3: Cross multiply
    878.03x = 1,314.24 × 466.55
  4. Step 4: Simplify right side
    878.03x = 613,158.67
  5. Step 5: Solve for x
    x = 613,158.67/878.03
  6. Step 6: Final answer
    x = 698.33

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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.