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Finding the Fourth Proportional to 602.09, 829.57 and 405.26

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Solution

The fourth proportional to 602.09, 829.57 and 405.26 is: 558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.09 : 829.57 = 405.26 : x
  2. Step 2: Convert to fraction form
    602.09/829.57 = 405.26/x
  3. Step 3: Cross multiply
    602.09x = 829.57 × 405.26
  4. Step 4: Simplify right side
    602.09x = 336,189.51
  5. Step 5: Solve for x
    x = 336,189.51/602.09
  6. Step 6: Final answer
    x = 558.37

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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.