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Finding the Fourth Proportional to 631.40, 942.84 and 516.07

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Solution

The fourth proportional to 631.40, 942.84 and 516.07 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.40 : 942.84 = 516.07 : x
  2. Step 2: Convert to fraction form
    631.40/942.84 = 516.07/x
  3. Step 3: Cross multiply
    631.40x = 942.84 × 516.07
  4. Step 4: Simplify right side
    631.40x = 486,571.44
  5. Step 5: Solve for x
    x = 486,571.44/631.40
  6. Step 6: Final answer
    x = 770.62

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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.