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Finding the Fourth Proportional to 631.09, 945.57 and 400.24

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Solution

The fourth proportional to 631.09, 945.57 and 400.24 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.09 : 945.57 = 400.24 : x
  2. Step 2: Convert to fraction form
    631.09/945.57 = 400.24/x
  3. Step 3: Cross multiply
    631.09x = 945.57 × 400.24
  4. Step 4: Simplify right side
    631.09x = 378,457.62
  5. Step 5: Solve for x
    x = 378,457.62/631.09
  6. Step 6: Final answer
    x = 599.69

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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.