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Finding the Fourth Proportional to 631.82, 947.62 and 169.49

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Solution

The fourth proportional to 631.82, 947.62 and 169.49 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 947.62 = 169.49 : x
  2. Step 2: Convert to fraction form
    631.82/947.62 = 169.49/x
  3. Step 3: Cross multiply
    631.82x = 947.62 × 169.49
  4. Step 4: Simplify right side
    631.82x = 160,612.11
  5. Step 5: Solve for x
    x = 160,612.11/631.82
  6. Step 6: Final answer
    x = 254.21

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Double scale
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1.5x scale

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.