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Finding the Fourth Proportional to 527.06, 790.20 and 440.21

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Solution

The fourth proportional to 527.06, 790.20 and 440.21 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 790.20 = 440.21 : x
  2. Step 2: Convert to fraction form
    527.06/790.20 = 440.21/x
  3. Step 3: Cross multiply
    527.06x = 790.20 × 440.21
  4. Step 4: Simplify right side
    527.06x = 347,853.94
  5. Step 5: Solve for x
    x = 347,853.94/527.06
  6. Step 6: Final answer
    x = 659.99

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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.