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Finding the Fourth Proportional to 506.88, 756.72 and 488.88

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Solution

The fourth proportional to 506.88, 756.72 and 488.88 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 756.72 = 488.88 : x
  2. Step 2: Convert to fraction form
    506.88/756.72 = 488.88/x
  3. Step 3: Cross multiply
    506.88x = 756.72 × 488.88
  4. Step 4: Simplify right side
    506.88x = 369,945.27
  5. Step 5: Solve for x
    x = 369,945.27/506.88
  6. Step 6: Final answer
    x = 729.85

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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.