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Finding the Fourth Proportional to 571.38, 857.08 and 298.02

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Solution

The fourth proportional to 571.38, 857.08 and 298.02 is: 447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 857.08 = 298.02 : x
  2. Step 2: Convert to fraction form
    571.38/857.08 = 298.02/x
  3. Step 3: Cross multiply
    571.38x = 857.08 × 298.02
  4. Step 4: Simplify right side
    571.38x = 255,426.98
  5. Step 5: Solve for x
    x = 255,426.98/571.38
  6. Step 6: Final answer
    x = 447.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.