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Finding the Fourth Proportional to 506.63, 758.81 and 429.29

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Solution

The fourth proportional to 506.63, 758.81 and 429.29 is: 642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 758.81 = 429.29 : x
  2. Step 2: Convert to fraction form
    506.63/758.81 = 429.29/x
  3. Step 3: Cross multiply
    506.63x = 758.81 × 429.29
  4. Step 4: Simplify right side
    506.63x = 325,743.60
  5. Step 5: Solve for x
    x = 325,743.60/506.63
  6. Step 6: Final answer
    x = 642.97

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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.