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Finding the Fourth Proportional to 582.97, 803.87 and 396.49

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Solution

The fourth proportional to 582.97, 803.87 and 396.49 is: 546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 803.87 = 396.49 : x
  2. Step 2: Convert to fraction form
    582.97/803.87 = 396.49/x
  3. Step 3: Cross multiply
    582.97x = 803.87 × 396.49
  4. Step 4: Simplify right side
    582.97x = 318,724.43
  5. Step 5: Solve for x
    x = 318,724.43/582.97
  6. Step 6: Final answer
    x = 546.73

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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.