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Finding the Fourth Proportional to 547.34, 819.93 and 316.08

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Solution

The fourth proportional to 547.34, 819.93 and 316.08 is: 473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 819.93 = 316.08 : x
  2. Step 2: Convert to fraction form
    547.34/819.93 = 316.08/x
  3. Step 3: Cross multiply
    547.34x = 819.93 × 316.08
  4. Step 4: Simplify right side
    547.34x = 259,163.94
  5. Step 5: Solve for x
    x = 259,163.94/547.34
  6. Step 6: Final answer
    x = 473.50

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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.