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Finding the Fourth Proportional to 527.63, 790.89 and 180.65

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Solution

The fourth proportional to 527.63, 790.89 and 180.65 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 790.89 = 180.65 : x
  2. Step 2: Convert to fraction form
    527.63/790.89 = 180.65/x
  3. Step 3: Cross multiply
    527.63x = 790.89 × 180.65
  4. Step 4: Simplify right side
    527.63x = 142,874.28
  5. Step 5: Solve for x
    x = 142,874.28/527.63
  6. Step 6: Final answer
    x = 270.78

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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.