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Finding the Fourth Proportional to 631.56, 945.98 and 306.26

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Solution

The fourth proportional to 631.56, 945.98 and 306.26 is: 458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 945.98 = 306.26 : x
  2. Step 2: Convert to fraction form
    631.56/945.98 = 306.26/x
  3. Step 3: Cross multiply
    631.56x = 945.98 × 306.26
  4. Step 4: Simplify right side
    631.56x = 289,715.83
  5. Step 5: Solve for x
    x = 289,715.83/631.56
  6. Step 6: Final answer
    x = 458.73

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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.