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Finding the Fourth Proportional to 509, 759.85 and 431.44

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Solution

The fourth proportional to 509, 759.85 and 431.44 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 759.85 = 431.44 : x
  2. Step 2: Convert to fraction form
    509/759.85 = 431.44/x
  3. Step 3: Cross multiply
    509x = 759.85 × 431.44
  4. Step 4: Simplify right side
    509x = 327,829.68
  5. Step 5: Solve for x
    x = 327,829.68/509
  6. Step 6: Final answer
    x = 644.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.