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Finding the Fourth Proportional to 506.48, 759.78 and 379.04

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Solution

The fourth proportional to 506.48, 759.78 and 379.04 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.48 : 759.78 = 379.04 : x
  2. Step 2: Convert to fraction form
    506.48/759.78 = 379.04/x
  3. Step 3: Cross multiply
    506.48x = 759.78 × 379.04
  4. Step 4: Simplify right side
    506.48x = 287,987.01
  5. Step 5: Solve for x
    x = 287,987.01/506.48
  6. Step 6: Final answer
    x = 568.60

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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.