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Finding the Fourth Proportional to 517.99, 713.31 and 386.77

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Solution

The fourth proportional to 517.99, 713.31 and 386.77 is: 532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 713.31 = 386.77 : x
  2. Step 2: Convert to fraction form
    517.99/713.31 = 386.77/x
  3. Step 3: Cross multiply
    517.99x = 713.31 × 386.77
  4. Step 4: Simplify right side
    517.99x = 275,886.91
  5. Step 5: Solve for x
    x = 275,886.91/517.99
  6. Step 6: Final answer
    x = 532.61

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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.