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Finding the Fourth Proportional to 517.64, 775.11 and 301.10

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Solution

The fourth proportional to 517.64, 775.11 and 301.10 is: 450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 775.11 = 301.10 : x
  2. Step 2: Convert to fraction form
    517.64/775.11 = 301.10/x
  3. Step 3: Cross multiply
    517.64x = 775.11 × 301.10
  4. Step 4: Simplify right side
    517.64x = 233,385.62
  5. Step 5: Solve for x
    x = 233,385.62/517.64
  6. Step 6: Final answer
    x = 450.86

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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.