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Finding the Fourth Proportional to 631.06, 945.96 and 425.14

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Solution

The fourth proportional to 631.06, 945.96 and 425.14 is: 637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 945.96 = 425.14 : x
  2. Step 2: Convert to fraction form
    631.06/945.96 = 425.14/x
  3. Step 3: Cross multiply
    631.06x = 945.96 × 425.14
  4. Step 4: Simplify right side
    631.06x = 402,165.43
  5. Step 5: Solve for x
    x = 402,165.43/631.06
  6. Step 6: Final answer
    x = 637.29

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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.