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Finding the Fourth Proportional to 655.47, 905.31 and 602.82

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Solution

The fourth proportional to 655.47, 905.31 and 602.82 is: 832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 905.31 = 602.82 : x
  2. Step 2: Convert to fraction form
    655.47/905.31 = 602.82/x
  3. Step 3: Cross multiply
    655.47x = 905.31 × 602.82
  4. Step 4: Simplify right side
    655.47x = 545,738.97
  5. Step 5: Solve for x
    x = 545,738.97/655.47
  6. Step 6: Final answer
    x = 832.59

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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.