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Finding the Fourth Proportional to 993.14, 1,495.24 and 878.24

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Solution

The fourth proportional to 993.14, 1,495.24 and 878.24 is: 1,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.14 : 1,495.24 = 878.24 : x
  2. Step 2: Convert to fraction form
    993.14/1,495.24 = 878.24/x
  3. Step 3: Cross multiply
    993.14x = 1,495.24 × 878.24
  4. Step 4: Simplify right side
    993.14x = 1,313,179.58
  5. Step 5: Solve for x
    x = 1,313,179.58/993.14
  6. Step 6: Final answer
    x = 1,322.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.