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Finding the Fourth Proportional to 878.66, 1,317.60 and 513.56

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Solution

The fourth proportional to 878.66, 1,317.60 and 513.56 is: 770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.66 : 1,317.60 = 513.56 : x
  2. Step 2: Convert to fraction form
    878.66/1,317.60 = 513.56/x
  3. Step 3: Cross multiply
    878.66x = 1,317.60 × 513.56
  4. Step 4: Simplify right side
    878.66x = 676,666.66
  5. Step 5: Solve for x
    x = 676,666.66/878.66
  6. Step 6: Final answer
    x = 770.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.