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Finding the Fourth Proportional to 631.72, 947.44 and 359.56

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Solution

The fourth proportional to 631.72, 947.44 and 359.56 is: 539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.72 : 947.44 = 359.56 : x
  2. Step 2: Convert to fraction form
    631.72/947.44 = 359.56/x
  3. Step 3: Cross multiply
    631.72x = 947.44 × 359.56
  4. Step 4: Simplify right side
    631.72x = 340,661.53
  5. Step 5: Solve for x
    x = 340,661.53/631.72
  6. Step 6: Final answer
    x = 539.26

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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.