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Finding the Fourth Proportional to 603, 829.62 and 537.36

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Solution

The fourth proportional to 603, 829.62 and 537.36 is: 739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 829.62 = 537.36 : x
  2. Step 2: Convert to fraction form
    603/829.62 = 537.36/x
  3. Step 3: Cross multiply
    603x = 829.62 × 537.36
  4. Step 4: Simplify right side
    603x = 445,804.60
  5. Step 5: Solve for x
    x = 445,804.60/603
  6. Step 6: Final answer
    x = 739.31

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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.