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Finding the Fourth Proportional to 864.25, 1,295.92 and 376.73

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Solution

The fourth proportional to 864.25, 1,295.92 and 376.73 is: 564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.25 : 1,295.92 = 376.73 : x
  2. Step 2: Convert to fraction form
    864.25/1,295.92 = 376.73/x
  3. Step 3: Cross multiply
    864.25x = 1,295.92 × 376.73
  4. Step 4: Simplify right side
    864.25x = 488,219.14
  5. Step 5: Solve for x
    x = 488,219.14/864.25
  6. Step 6: Final answer
    x = 564.90

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Why These Related Problems?

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