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Finding the Fourth Proportional to 517.00, 775.53 and 257.06

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Solution

The fourth proportional to 517.00, 775.53 and 257.06 is: 385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.00 : 775.53 = 257.06 : x
  2. Step 2: Convert to fraction form
    517.00/775.53 = 257.06/x
  3. Step 3: Cross multiply
    517.00x = 775.53 × 257.06
  4. Step 4: Simplify right side
    517.00x = 199,357.74
  5. Step 5: Solve for x
    x = 199,357.74/517.00
  6. Step 6: Final answer
    x = 385.61

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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.