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Finding the Fourth Proportional to 717.36, 990.32 and 455.76

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Solution

The fourth proportional to 717.36, 990.32 and 455.76 is: 629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.36 : 990.32 = 455.76 : x
  2. Step 2: Convert to fraction form
    717.36/990.32 = 455.76/x
  3. Step 3: Cross multiply
    717.36x = 990.32 × 455.76
  4. Step 4: Simplify right side
    717.36x = 451,348.24
  5. Step 5: Solve for x
    x = 451,348.24/717.36
  6. Step 6: Final answer
    x = 629.18

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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.