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Finding the Fourth Proportional to 982.86, 1,474.77 and 462.91

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Solution

The fourth proportional to 982.86, 1,474.77 and 462.91 is: 694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.86 : 1,474.77 = 462.91 : x
  2. Step 2: Convert to fraction form
    982.86/1,474.77 = 462.91/x
  3. Step 3: Cross multiply
    982.86x = 1,474.77 × 462.91
  4. Step 4: Simplify right side
    982.86x = 682,683.83
  5. Step 5: Solve for x
    x = 682,683.83/982.86
  6. Step 6: Final answer
    x = 694.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.