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Finding the Fourth Proportional to 631.60, 944.40 and 541.36

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Solution

The fourth proportional to 631.60, 944.40 and 541.36 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 944.40 = 541.36 : x
  2. Step 2: Convert to fraction form
    631.60/944.40 = 541.36/x
  3. Step 3: Cross multiply
    631.60x = 944.40 × 541.36
  4. Step 4: Simplify right side
    631.60x = 511,260.38
  5. Step 5: Solve for x
    x = 511,260.38/631.60
  6. Step 6: Final answer
    x = 809.47

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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.