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Finding the Fourth Proportional to 506.47, 759.82 and 287.20

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Solution

The fourth proportional to 506.47, 759.82 and 287.20 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.47 : 759.82 = 287.20 : x
  2. Step 2: Convert to fraction form
    506.47/759.82 = 287.20/x
  3. Step 3: Cross multiply
    506.47x = 759.82 × 287.20
  4. Step 4: Simplify right side
    506.47x = 218,218.87
  5. Step 5: Solve for x
    x = 218,218.87/506.47
  6. Step 6: Final answer
    x = 430.86

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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.