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Finding the Fourth Proportional to 631.98, 947.16 and 426.06

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Solution

The fourth proportional to 631.98, 947.16 and 426.06 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.98 : 947.16 = 426.06 : x
  2. Step 2: Convert to fraction form
    631.98/947.16 = 426.06/x
  3. Step 3: Cross multiply
    631.98x = 947.16 × 426.06
  4. Step 4: Simplify right side
    631.98x = 403,546.99
  5. Step 5: Solve for x
    x = 403,546.99/631.98
  6. Step 6: Final answer
    x = 638.54

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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.