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Finding the Fourth Proportional to 878.80, 1,213.76 and 583.55

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Solution

The fourth proportional to 878.80, 1,213.76 and 583.55 is: 805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.80 : 1,213.76 = 583.55 : x
  2. Step 2: Convert to fraction form
    878.80/1,213.76 = 583.55/x
  3. Step 3: Cross multiply
    878.80x = 1,213.76 × 583.55
  4. Step 4: Simplify right side
    878.80x = 708,294.14
  5. Step 5: Solve for x
    x = 708,294.14/878.80
  6. Step 6: Final answer
    x = 805.98

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