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Finding the Fourth Proportional to 711.33, 982.17 and 699.99

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Solution

The fourth proportional to 711.33, 982.17 and 699.99 is: 966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.33 : 982.17 = 699.99 : x
  2. Step 2: Convert to fraction form
    711.33/982.17 = 699.99/x
  3. Step 3: Cross multiply
    711.33x = 982.17 × 699.99
  4. Step 4: Simplify right side
    711.33x = 687,509.18
  5. Step 5: Solve for x
    x = 687,509.18/711.33
  6. Step 6: Final answer
    x = 966.51

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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.