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Finding the Fourth Proportional to 711.86, 982.42 and 450.14

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Solution

The fourth proportional to 711.86, 982.42 and 450.14 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 982.42 = 450.14 : x
  2. Step 2: Convert to fraction form
    711.86/982.42 = 450.14/x
  3. Step 3: Cross multiply
    711.86x = 982.42 × 450.14
  4. Step 4: Simplify right side
    711.86x = 442,220.50
  5. Step 5: Solve for x
    x = 442,220.50/711.86
  6. Step 6: Final answer
    x = 621.22

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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.