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Finding the Fourth Proportional to 631.92, 947.56 and 285.20

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Solution

The fourth proportional to 631.92, 947.56 and 285.20 is: 427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 947.56 = 285.20 : x
  2. Step 2: Convert to fraction form
    631.92/947.56 = 285.20/x
  3. Step 3: Cross multiply
    631.92x = 947.56 × 285.20
  4. Step 4: Simplify right side
    631.92x = 270,244.11
  5. Step 5: Solve for x
    x = 270,244.11/631.92
  6. Step 6: Final answer
    x = 427.66

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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.