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Finding the Fourth Proportional to 582.97, 804.42 and 343.60

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Solution

The fourth proportional to 582.97, 804.42 and 343.60 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 804.42 = 343.60 : x
  2. Step 2: Convert to fraction form
    582.97/804.42 = 343.60/x
  3. Step 3: Cross multiply
    582.97x = 804.42 × 343.60
  4. Step 4: Simplify right side
    582.97x = 276,398.71
  5. Step 5: Solve for x
    x = 276,398.71/582.97
  6. Step 6: Final answer
    x = 474.12

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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.