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Finding the Fourth Proportional to 506.28, 758.04 and 428.82

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Solution

The fourth proportional to 506.28, 758.04 and 428.82 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.28 : 758.04 = 428.82 : x
  2. Step 2: Convert to fraction form
    506.28/758.04 = 428.82/x
  3. Step 3: Cross multiply
    506.28x = 758.04 × 428.82
  4. Step 4: Simplify right side
    506.28x = 325,062.71
  5. Step 5: Solve for x
    x = 325,062.71/506.28
  6. Step 6: Final answer
    x = 642.06

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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.