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Finding the Fourth Proportional to 663.93, 996.59 and 404.23

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Solution

The fourth proportional to 663.93, 996.59 and 404.23 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.93 : 996.59 = 404.23 : x
  2. Step 2: Convert to fraction form
    663.93/996.59 = 404.23/x
  3. Step 3: Cross multiply
    663.93x = 996.59 × 404.23
  4. Step 4: Simplify right side
    663.93x = 402,851.58
  5. Step 5: Solve for x
    x = 402,851.58/663.93
  6. Step 6: Final answer
    x = 606.77

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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.