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Finding the Fourth Proportional to 631.53, 945.27 and 400.64

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Solution

The fourth proportional to 631.53, 945.27 and 400.64 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.53 : 945.27 = 400.64 : x
  2. Step 2: Convert to fraction form
    631.53/945.27 = 400.64/x
  3. Step 3: Cross multiply
    631.53x = 945.27 × 400.64
  4. Step 4: Simplify right side
    631.53x = 378,708.25
  5. Step 5: Solve for x
    x = 378,708.25/631.53
  6. Step 6: Final answer
    x = 599.67

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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.