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Finding the Fourth Proportional to 527.66, 791.49 and 321.82

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Solution

The fourth proportional to 527.66, 791.49 and 321.82 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.66 : 791.49 = 321.82 : x
  2. Step 2: Convert to fraction form
    527.66/791.49 = 321.82/x
  3. Step 3: Cross multiply
    527.66x = 791.49 × 321.82
  4. Step 4: Simplify right side
    527.66x = 254,713.25
  5. Step 5: Solve for x
    x = 254,713.25/527.66
  6. Step 6: Final answer
    x = 482.72

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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.