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Finding the Fourth Proportional to 603.45, 829.56 and 519.12

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Solution

The fourth proportional to 603.45, 829.56 and 519.12 is: 713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 829.56 = 519.12 : x
  2. Step 2: Convert to fraction form
    603.45/829.56 = 519.12/x
  3. Step 3: Cross multiply
    603.45x = 829.56 × 519.12
  4. Step 4: Simplify right side
    603.45x = 430,641.19
  5. Step 5: Solve for x
    x = 430,641.19/603.45
  6. Step 6: Final answer
    x = 713.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.