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Finding the Fourth Proportional to 878.64, 1,213.02 and 583.80

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Solution

The fourth proportional to 878.64, 1,213.02 and 583.80 is: 805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.64 : 1,213.02 = 583.80 : x
  2. Step 2: Convert to fraction form
    878.64/1,213.02 = 583.80/x
  3. Step 3: Cross multiply
    878.64x = 1,213.02 × 583.80
  4. Step 4: Simplify right side
    878.64x = 708,161.08
  5. Step 5: Solve for x
    x = 708,161.08/878.64
  6. Step 6: Final answer
    x = 805.97

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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.