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Finding the Fourth Proportional to 631.23, 945.38 and 609.34

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Solution

The fourth proportional to 631.23, 945.38 and 609.34 is: 912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 945.38 = 609.34 : x
  2. Step 2: Convert to fraction form
    631.23/945.38 = 609.34/x
  3. Step 3: Cross multiply
    631.23x = 945.38 × 609.34
  4. Step 4: Simplify right side
    631.23x = 576,058.78
  5. Step 5: Solve for x
    x = 576,058.78/631.23
  6. Step 6: Final answer
    x = 912.59

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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.