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Finding the Fourth Proportional to 527.09, 790.55 and 180.43

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Solution

The fourth proportional to 527.09, 790.55 and 180.43 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.09 : 790.55 = 180.43 : x
  2. Step 2: Convert to fraction form
    527.09/790.55 = 180.43/x
  3. Step 3: Cross multiply
    527.09x = 790.55 × 180.43
  4. Step 4: Simplify right side
    527.09x = 142,638.94
  5. Step 5: Solve for x
    x = 142,638.94/527.09
  6. Step 6: Final answer
    x = 270.62

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1.5x scale

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.