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Finding the Fourth Proportional to 631.91, 948.44 and 456.38

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Solution

The fourth proportional to 631.91, 948.44 and 456.38 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.91 : 948.44 = 456.38 : x
  2. Step 2: Convert to fraction form
    631.91/948.44 = 456.38/x
  3. Step 3: Cross multiply
    631.91x = 948.44 × 456.38
  4. Step 4: Simplify right side
    631.91x = 432,849.05
  5. Step 5: Solve for x
    x = 432,849.05/631.91
  6. Step 6: Final answer
    x = 684.99

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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.