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Finding the Fourth Proportional to 805.88, 1,208.52 and 319

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Solution

The fourth proportional to 805.88, 1,208.52 and 319 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.88 : 1,208.52 = 319 : x
  2. Step 2: Convert to fraction form
    805.88/1,208.52 = 319/x
  3. Step 3: Cross multiply
    805.88x = 1,208.52 × 319
  4. Step 4: Simplify right side
    805.88x = 385,517.88
  5. Step 5: Solve for x
    x = 385,517.88/805.88
  6. Step 6: Final answer
    x = 478.38

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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.