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Finding the Fourth Proportional to 602.84, 831.97 and 504.43

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Solution

The fourth proportional to 602.84, 831.97 and 504.43 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 831.97 = 504.43 : x
  2. Step 2: Convert to fraction form
    602.84/831.97 = 504.43/x
  3. Step 3: Cross multiply
    602.84x = 831.97 × 504.43
  4. Step 4: Simplify right side
    602.84x = 419,669.18
  5. Step 5: Solve for x
    x = 419,669.18/602.84
  6. Step 6: Final answer
    x = 696.15

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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.