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Finding the Fourth Proportional to 632.41, 947.40 and 516.99

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Solution

The fourth proportional to 632.41, 947.40 and 516.99 is: 774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.41 : 947.40 = 516.99 : x
  2. Step 2: Convert to fraction form
    632.41/947.40 = 516.99/x
  3. Step 3: Cross multiply
    632.41x = 947.40 × 516.99
  4. Step 4: Simplify right side
    632.41x = 489,796.33
  5. Step 5: Solve for x
    x = 489,796.33/632.41
  6. Step 6: Final answer
    x = 774.49

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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.