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Finding the Fourth Proportional to 471.28, 703.94 and 398.38

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Solution

The fourth proportional to 471.28, 703.94 and 398.38 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 703.94 = 398.38 : x
  2. Step 2: Convert to fraction form
    471.28/703.94 = 398.38/x
  3. Step 3: Cross multiply
    471.28x = 703.94 × 398.38
  4. Step 4: Simplify right side
    471.28x = 280,435.62
  5. Step 5: Solve for x
    x = 280,435.62/471.28
  6. Step 6: Final answer
    x = 595.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.