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Finding the Fourth Proportional to 517.53, 775.68 and 300.04

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Solution

The fourth proportional to 517.53, 775.68 and 300.04 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 775.68 = 300.04 : x
  2. Step 2: Convert to fraction form
    517.53/775.68 = 300.04/x
  3. Step 3: Cross multiply
    517.53x = 775.68 × 300.04
  4. Step 4: Simplify right side
    517.53x = 232,735.03
  5. Step 5: Solve for x
    x = 232,735.03/517.53
  6. Step 6: Final answer
    x = 449.70

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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.