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Finding the Fourth Proportional to 663, 914.94 and 456.36

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Solution

The fourth proportional to 663, 914.94 and 456.36 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 914.94 = 456.36 : x
  2. Step 2: Convert to fraction form
    663/914.94 = 456.36/x
  3. Step 3: Cross multiply
    663x = 914.94 × 456.36
  4. Step 4: Simplify right side
    663x = 417,542.02
  5. Step 5: Solve for x
    x = 417,542.02/663
  6. Step 6: Final answer
    x = 629.78

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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.