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Finding the Fourth Proportional to 517.75, 713.66 and 405.51

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Solution

The fourth proportional to 517.75, 713.66 and 405.51 is: 558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.75 : 713.66 = 405.51 : x
  2. Step 2: Convert to fraction form
    517.75/713.66 = 405.51/x
  3. Step 3: Cross multiply
    517.75x = 713.66 × 405.51
  4. Step 4: Simplify right side
    517.75x = 289,396.27
  5. Step 5: Solve for x
    x = 289,396.27/517.75
  6. Step 6: Final answer
    x = 558.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.