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Finding the Fourth Proportional to 711.71, 980.19 and 613.43

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Solution

The fourth proportional to 711.71, 980.19 and 613.43 is: 844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.71 : 980.19 = 613.43 : x
  2. Step 2: Convert to fraction form
    711.71/980.19 = 613.43/x
  3. Step 3: Cross multiply
    711.71x = 980.19 × 613.43
  4. Step 4: Simplify right side
    711.71x = 601,277.95
  5. Step 5: Solve for x
    x = 601,277.95/711.71
  6. Step 6: Final answer
    x = 844.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.