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Finding the Fourth Proportional to 631.60, 943.09 and 540.16

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Solution

The fourth proportional to 631.60, 943.09 and 540.16 is: 806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 943.09 = 540.16 : x
  2. Step 2: Convert to fraction form
    631.60/943.09 = 540.16/x
  3. Step 3: Cross multiply
    631.60x = 943.09 × 540.16
  4. Step 4: Simplify right side
    631.60x = 509,419.49
  5. Step 5: Solve for x
    x = 509,419.49/631.60
  6. Step 6: Final answer
    x = 806.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.