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Finding the Fourth Proportional to 723.76, 996.96 and 606.40

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Solution

The fourth proportional to 723.76, 996.96 and 606.40 is: 835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 996.96 = 606.40 : x
  2. Step 2: Convert to fraction form
    723.76/996.96 = 606.40/x
  3. Step 3: Cross multiply
    723.76x = 996.96 × 606.40
  4. Step 4: Simplify right side
    723.76x = 604,556.54
  5. Step 5: Solve for x
    x = 604,556.54/723.76
  6. Step 6: Final answer
    x = 835.30

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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.