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Finding the Fourth Proportional to 509.28, 701.20 and 450.96

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Solution

The fourth proportional to 509.28, 701.20 and 450.96 is: 620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 701.20 = 450.96 : x
  2. Step 2: Convert to fraction form
    509.28/701.20 = 450.96/x
  3. Step 3: Cross multiply
    509.28x = 701.20 × 450.96
  4. Step 4: Simplify right side
    509.28x = 316,213.15
  5. Step 5: Solve for x
    x = 316,213.15/509.28
  6. Step 6: Final answer
    x = 620.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.