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Finding the Fourth Proportional to 711.68, 982.20 and 397.00

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Solution

The fourth proportional to 711.68, 982.20 and 397.00 is: 547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 982.20 = 397.00 : x
  2. Step 2: Convert to fraction form
    711.68/982.20 = 397.00/x
  3. Step 3: Cross multiply
    711.68x = 982.20 × 397.00
  4. Step 4: Simplify right side
    711.68x = 389,926.50
  5. Step 5: Solve for x
    x = 389,926.50/711.68
  6. Step 6: Final answer
    x = 547.90

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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.