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Finding the Fourth Proportional to 436.82, 653.85 and 319.43

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Solution

The fourth proportional to 436.82, 653.85 and 319.43 is: 478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.82 : 653.85 = 319.43 : x
  2. Step 2: Convert to fraction form
    436.82/653.85 = 319.43/x
  3. Step 3: Cross multiply
    436.82x = 653.85 × 319.43
  4. Step 4: Simplify right side
    436.82x = 208,860.94
  5. Step 5: Solve for x
    x = 208,860.94/436.82
  6. Step 6: Final answer
    x = 478.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.