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Finding the Fourth Proportional to 450.14, 619.80 and 397.49

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Solution

The fourth proportional to 450.14, 619.80 and 397.49 is: 547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.14 : 619.80 = 397.49 : x
  2. Step 2: Convert to fraction form
    450.14/619.80 = 397.49/x
  3. Step 3: Cross multiply
    450.14x = 619.80 × 397.49
  4. Step 4: Simplify right side
    450.14x = 246,364.30
  5. Step 5: Solve for x
    x = 246,364.30/450.14
  6. Step 6: Final answer
    x = 547.31

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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.