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Finding the Fourth Proportional to 507.70, 759.93 and 263.89

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Solution

The fourth proportional to 507.70, 759.93 and 263.89 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 759.93 = 263.89 : x
  2. Step 2: Convert to fraction form
    507.70/759.93 = 263.89/x
  3. Step 3: Cross multiply
    507.70x = 759.93 × 263.89
  4. Step 4: Simplify right side
    507.70x = 200,537.93
  5. Step 5: Solve for x
    x = 200,537.93/507.70
  6. Step 6: Final answer
    x = 394.99

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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.