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Finding the Fourth Proportional to 456.95, 631.44 and 374.03

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Solution

The fourth proportional to 456.95, 631.44 and 374.03 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 631.44 = 374.03 : x
  2. Step 2: Convert to fraction form
    456.95/631.44 = 374.03/x
  3. Step 3: Cross multiply
    456.95x = 631.44 × 374.03
  4. Step 4: Simplify right side
    456.95x = 236,174.35
  5. Step 5: Solve for x
    x = 236,174.35/456.95
  6. Step 6: Final answer
    x = 516.85

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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.