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Finding the Fourth Proportional to 457.82, 687.03 and 427.45

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Solution

The fourth proportional to 457.82, 687.03 and 427.45 is: 641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 687.03 = 427.45 : x
  2. Step 2: Convert to fraction form
    457.82/687.03 = 427.45/x
  3. Step 3: Cross multiply
    457.82x = 687.03 × 427.45
  4. Step 4: Simplify right side
    457.82x = 293,667.54
  5. Step 5: Solve for x
    x = 293,667.54/457.82
  6. Step 6: Final answer
    x = 641.45

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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.