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Finding the Fourth Proportional to 418.59, 625.48 and 319.21

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Solution

The fourth proportional to 418.59, 625.48 and 319.21 is: 476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.59 : 625.48 = 319.21 : x
  2. Step 2: Convert to fraction form
    418.59/625.48 = 319.21/x
  3. Step 3: Cross multiply
    418.59x = 625.48 × 319.21
  4. Step 4: Simplify right side
    418.59x = 199,660.65
  5. Step 5: Solve for x
    x = 199,660.65/418.59
  6. Step 6: Final answer
    x = 476.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.