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Finding the Fourth Proportional to 506.88, 757.17 and 429.48

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Solution

The fourth proportional to 506.88, 757.17 and 429.48 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 757.17 = 429.48 : x
  2. Step 2: Convert to fraction form
    506.88/757.17 = 429.48/x
  3. Step 3: Cross multiply
    506.88x = 757.17 × 429.48
  4. Step 4: Simplify right side
    506.88x = 325,189.37
  5. Step 5: Solve for x
    x = 325,189.37/506.88
  6. Step 6: Final answer
    x = 641.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.