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Finding the Fourth Proportional to 602.97, 834.06 and 504.55

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Solution

The fourth proportional to 602.97, 834.06 and 504.55 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 834.06 = 504.55 : x
  2. Step 2: Convert to fraction form
    602.97/834.06 = 504.55/x
  3. Step 3: Cross multiply
    602.97x = 834.06 × 504.55
  4. Step 4: Simplify right side
    602.97x = 420,824.97
  5. Step 5: Solve for x
    x = 420,824.97/602.97
  6. Step 6: Final answer
    x = 697.92

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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.