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Finding the Fourth Proportional to 517.06, 775.40 and 208.83

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Solution

The fourth proportional to 517.06, 775.40 and 208.83 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 775.40 = 208.83 : x
  2. Step 2: Convert to fraction form
    517.06/775.40 = 208.83/x
  3. Step 3: Cross multiply
    517.06x = 775.40 × 208.83
  4. Step 4: Simplify right side
    517.06x = 161,924.87
  5. Step 5: Solve for x
    x = 161,924.87/517.06
  6. Step 6: Final answer
    x = 313.17

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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.