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Finding the Fourth Proportional to 864.87, 1,192.38 and 640.09

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Solution

The fourth proportional to 864.87, 1,192.38 and 640.09 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.87 : 1,192.38 = 640.09 : x
  2. Step 2: Convert to fraction form
    864.87/1,192.38 = 640.09/x
  3. Step 3: Cross multiply
    864.87x = 1,192.38 × 640.09
  4. Step 4: Simplify right side
    864.87x = 763,230.51
  5. Step 5: Solve for x
    x = 763,230.51/864.87
  6. Step 6: Final answer
    x = 882.48

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Why These Related Problems?

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