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Finding the Fourth Proportional to 665.94, 919.32 and 456.14

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Solution

The fourth proportional to 665.94, 919.32 and 456.14 is: 629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 919.32 = 456.14 : x
  2. Step 2: Convert to fraction form
    665.94/919.32 = 456.14/x
  3. Step 3: Cross multiply
    665.94x = 919.32 × 456.14
  4. Step 4: Simplify right side
    665.94x = 419,338.62
  5. Step 5: Solve for x
    x = 419,338.62/665.94
  6. Step 6: Final answer
    x = 629.69

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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.