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Finding the Fourth Proportional to 665.99, 919.49 and 456.52

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Solution

The fourth proportional to 665.99, 919.49 and 456.52 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.99 : 919.49 = 456.52 : x
  2. Step 2: Convert to fraction form
    665.99/919.49 = 456.52/x
  3. Step 3: Cross multiply
    665.99x = 919.49 × 456.52
  4. Step 4: Simplify right side
    665.99x = 419,765.57
  5. Step 5: Solve for x
    x = 419,765.57/665.99
  6. Step 6: Final answer
    x = 630.29

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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.