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Finding the Fourth Proportional to 739.99, 1,021.94 and 519.31

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Solution

The fourth proportional to 739.99, 1,021.94 and 519.31 is: 717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.99 : 1,021.94 = 519.31 : x
  2. Step 2: Convert to fraction form
    739.99/1,021.94 = 519.31/x
  3. Step 3: Cross multiply
    739.99x = 1,021.94 × 519.31
  4. Step 4: Simplify right side
    739.99x = 530,703.66
  5. Step 5: Solve for x
    x = 530,703.66/739.99
  6. Step 6: Final answer
    x = 717.18

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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.