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Finding the Fourth Proportional to 631.58, 947.38 and 306.88

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Solution

The fourth proportional to 631.58, 947.38 and 306.88 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.58 : 947.38 = 306.88 : x
  2. Step 2: Convert to fraction form
    631.58/947.38 = 306.88/x
  3. Step 3: Cross multiply
    631.58x = 947.38 × 306.88
  4. Step 4: Simplify right side
    631.58x = 290,731.97
  5. Step 5: Solve for x
    x = 290,731.97/631.58
  6. Step 6: Final answer
    x = 460.32

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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.