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Finding the Fourth Proportional to 711.97, 982.90 and 492.10

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Solution

The fourth proportional to 711.97, 982.90 and 492.10 is: 679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.97 : 982.90 = 492.10 : x
  2. Step 2: Convert to fraction form
    711.97/982.90 = 492.10/x
  3. Step 3: Cross multiply
    711.97x = 982.90 × 492.10
  4. Step 4: Simplify right side
    711.97x = 483,677.72
  5. Step 5: Solve for x
    x = 483,677.72/711.97
  6. Step 6: Final answer
    x = 679.36

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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.