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Finding the Fourth Proportional to 527.09, 790.69 and 180.46

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Solution

The fourth proportional to 527.09, 790.69 and 180.46 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.09 : 790.69 = 180.46 : x
  2. Step 2: Convert to fraction form
    527.09/790.69 = 180.46/x
  3. Step 3: Cross multiply
    527.09x = 790.69 × 180.46
  4. Step 4: Simplify right side
    527.09x = 142,687.92
  5. Step 5: Solve for x
    x = 142,687.92/527.09
  6. Step 6: Final answer
    x = 270.71

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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.