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Finding the Fourth Proportional to 506.88, 758.88 and 483.20

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Solution

The fourth proportional to 506.88, 758.88 and 483.20 is: 723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 758.88 = 483.20 : x
  2. Step 2: Convert to fraction form
    506.88/758.88 = 483.20/x
  3. Step 3: Cross multiply
    506.88x = 758.88 × 483.20
  4. Step 4: Simplify right side
    506.88x = 366,690.82
  5. Step 5: Solve for x
    x = 366,690.82/506.88
  6. Step 6: Final answer
    x = 723.43

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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.