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Finding the Fourth Proportional to 507.45, 759.80 and 263.46

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Solution

The fourth proportional to 507.45, 759.80 and 263.46 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 759.80 = 263.46 : x
  2. Step 2: Convert to fraction form
    507.45/759.80 = 263.46/x
  3. Step 3: Cross multiply
    507.45x = 759.80 × 263.46
  4. Step 4: Simplify right side
    507.45x = 200,175.59
  5. Step 5: Solve for x
    x = 200,175.59/507.45
  6. Step 6: Final answer
    x = 394.47

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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.