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Finding the Fourth Proportional to 663.77, 996.24 and 355.88

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Solution

The fourth proportional to 663.77, 996.24 and 355.88 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.77 : 996.24 = 355.88 : x
  2. Step 2: Convert to fraction form
    663.77/996.24 = 355.88/x
  3. Step 3: Cross multiply
    663.77x = 996.24 × 355.88
  4. Step 4: Simplify right side
    663.77x = 354,541.89
  5. Step 5: Solve for x
    x = 354,541.89/663.77
  6. Step 6: Final answer
    x = 534.13

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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.