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Finding the Fourth Proportional to 602.69, 832.01 and 426.51

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Solution

The fourth proportional to 602.69, 832.01 and 426.51 is: 588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 832.01 = 426.51 : x
  2. Step 2: Convert to fraction form
    602.69/832.01 = 426.51/x
  3. Step 3: Cross multiply
    602.69x = 832.01 × 426.51
  4. Step 4: Simplify right side
    602.69x = 354,858.45
  5. Step 5: Solve for x
    x = 354,858.45/602.69
  6. Step 6: Final answer
    x = 588.80

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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.