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Finding the Fourth Proportional to 527.14, 790.69 and 218.65

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Solution

The fourth proportional to 527.14, 790.69 and 218.65 is: 327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.14 : 790.69 = 218.65 : x
  2. Step 2: Convert to fraction form
    527.14/790.69 = 218.65/x
  3. Step 3: Cross multiply
    527.14x = 790.69 × 218.65
  4. Step 4: Simplify right side
    527.14x = 172,884.37
  5. Step 5: Solve for x
    x = 172,884.37/527.14
  6. Step 6: Final answer
    x = 327.97

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