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Finding the Fourth Proportional to 517.65, 775.82 and 300.98

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Solution

The fourth proportional to 517.65, 775.82 and 300.98 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 775.82 = 300.98 : x
  2. Step 2: Convert to fraction form
    517.65/775.82 = 300.98/x
  3. Step 3: Cross multiply
    517.65x = 775.82 × 300.98
  4. Step 4: Simplify right side
    517.65x = 233,503.18
  5. Step 5: Solve for x
    x = 233,503.18/517.65
  6. Step 6: Final answer
    x = 451.08

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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.