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Finding the Fourth Proportional to 507.88, 757.73 and 483.40

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Solution

The fourth proportional to 507.88, 757.73 and 483.40 is: 721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 757.73 = 483.40 : x
  2. Step 2: Convert to fraction form
    507.88/757.73 = 483.40/x
  3. Step 3: Cross multiply
    507.88x = 757.73 × 483.40
  4. Step 4: Simplify right side
    507.88x = 366,286.68
  5. Step 5: Solve for x
    x = 366,286.68/507.88
  6. Step 6: Final answer
    x = 721.21

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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.