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Finding the Fourth Proportional to 631.60, 947.88 and 425.68

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Solution

The fourth proportional to 631.60, 947.88 and 425.68 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 947.88 = 425.68 : x
  2. Step 2: Convert to fraction form
    631.60/947.88 = 425.68/x
  3. Step 3: Cross multiply
    631.60x = 947.88 × 425.68
  4. Step 4: Simplify right side
    631.60x = 403,493.56
  5. Step 5: Solve for x
    x = 403,493.56/631.60
  6. Step 6: Final answer
    x = 638.84

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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.