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Finding the Fourth Proportional to 723.97, 996.54 and 640.93

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Solution

The fourth proportional to 723.97, 996.54 and 640.93 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.97 : 996.54 = 640.93 : x
  2. Step 2: Convert to fraction form
    723.97/996.54 = 640.93/x
  3. Step 3: Cross multiply
    723.97x = 996.54 × 640.93
  4. Step 4: Simplify right side
    723.97x = 638,712.38
  5. Step 5: Solve for x
    x = 638,712.38/723.97
  6. Step 6: Final answer
    x = 882.24

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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.