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Finding the Fourth Proportional to 507.01, 759.65 and 441.27

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Solution

The fourth proportional to 507.01, 759.65 and 441.27 is: 661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.01 : 759.65 = 441.27 : x
  2. Step 2: Convert to fraction form
    507.01/759.65 = 441.27/x
  3. Step 3: Cross multiply
    507.01x = 759.65 × 441.27
  4. Step 4: Simplify right side
    507.01x = 335,204.75
  5. Step 5: Solve for x
    x = 335,204.75/507.01
  6. Step 6: Final answer
    x = 661.15

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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.