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Finding the Fourth Proportional to 878.95, 1,213.03 and 486.05

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Solution

The fourth proportional to 878.95, 1,213.03 and 486.05 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.95 : 1,213.03 = 486.05 : x
  2. Step 2: Convert to fraction form
    878.95/1,213.03 = 486.05/x
  3. Step 3: Cross multiply
    878.95x = 1,213.03 × 486.05
  4. Step 4: Simplify right side
    878.95x = 589,594.45
  5. Step 5: Solve for x
    x = 589,594.45/878.95
  6. Step 6: Final answer
    x = 670.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.