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Finding the Fourth Proportional to 935.86, 1,410.67 and 878.62

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Solution

The fourth proportional to 935.86, 1,410.67 and 878.62 is: 1,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.86 : 1,410.67 = 878.62 : x
  2. Step 2: Convert to fraction form
    935.86/1,410.67 = 878.62/x
  3. Step 3: Cross multiply
    935.86x = 1,410.67 × 878.62
  4. Step 4: Simplify right side
    935.86x = 1,239,442.88
  5. Step 5: Solve for x
    x = 1,239,442.88/935.86
  6. Step 6: Final answer
    x = 1,324.39

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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.